1004101401440 has 96 divisors (see below), whose sum is σ = 2514580679520. Its totient is φ = 377585639424.

The previous prime is 1004101401437. The next prime is 1004101401449. The reversal of 1004101401440 is 441041014001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004101401449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2192726 + ... + 2610794.

It is an arithmetic number, because the mean of its divisors is an integer number (26193548745).

Almost surely, 2^{1004101401440} is an apocalyptic number.

1004101401440 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 1004101401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257290339760).

1004101401440 is an abundant number, since it is smaller than the sum of its proper divisors (1510479278080).

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

1004101401440 is a wasteful number, since it uses less digits than its factorization.

1004101401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418984 (or 418976 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1004101401440 its reverse (441041014001), we get a palindrome (1445142415441).

The spelling of 1004101401440 in words is "one trillion, four billion, one hundred one million, four hundred one thousand, four hundred forty".