10075610749440 has 320 divisors, whose sum is σ = 32441333443200. Its totient is φ = 2667606441984.

The previous prime is 10075610749439. The next prime is 10075610749481. The reversal of 10075610749440 is 4494701657001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10075610749440.

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 31 ways as a sum of consecutive naturals, for example, 1413323796 + ... + 1413330924.

It is an arithmetic number, because the mean of its divisors is an integer number (101379167010).

Almost surely, 2^{10075610749440} is an apocalyptic number.

10075610749440 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 10075610749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220666721600).

10075610749440 is an abundant number, since it is smaller than the sum of its proper divisors (22365722693760).

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

10075610749440 is a wasteful number, since it uses less digits than its factorization.

10075610749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 10075610749440 in words is "ten trillion, seventy-five billion, six hundred ten million, seven hundred forty-nine thousand, four hundred forty".