1395041149440 has 960 divisors, whose sum is σ = 5158573580160. Its totient is φ = 361184624640.

The previous prime is 1395041149427. The next prime is 1395041149471. The reversal of 1395041149440 is 449411405931.

It is a happy number.

1395041149440 is a `hidden beast` number, since 1 + 3 + 9 + 504 + 1 + 14 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1395041149440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3680847171 + ... + 3680847549.

It is an arithmetic number, because the mean of its divisors is an integer number (5373514146).

Almost surely, 2^{1395041149440} is an apocalyptic number.

1395041149440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395041149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579286790080).

1395041149440 is an abundant number, since it is smaller than the sum of its proper divisors (3763532430720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1395041149440 is an frugal number, since it uses more digits than its factorization.

1395041149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1395041149440 in words is "one trillion, three hundred ninety-five billion, forty-one million, one hundred forty-nine thousand, four hundred forty".