1459961015040 has 432 divisors, whose sum is σ = 5627791443456. Its totient is φ = 346398105600.

The previous prime is 1459961015039. The next prime is 1459961015047. The reversal of 1459961015040 is 405101699541.

1459961015040 is a `hidden beast` number, since 1 + 4 + 59 + 96 + 1 + 0 + 1 + 504 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1459961015047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5833275 + ... + 6078405.

It is an arithmetic number, because the mean of its divisors is an integer number (13027295008).

Almost surely, 2^{1459961015040} is an apocalyptic number.

1459961015040 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 1459961015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813895721728).

1459961015040 is an abundant number, since it is smaller than the sum of its proper divisors (4167830428416).

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

1459961015040 is a wasteful number, since it uses less digits than its factorization.

1459961015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245216 (or 245199 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1459961015040 in words is "one trillion, four hundred fifty-nine billion, nine hundred sixty-one million, fifteen thousand, forty".