10115611440 has 160 divisors (see below), whose sum is σ = 34310304000. Its totient is φ = 2445020160.

The previous prime is 10115611427. The next prime is 10115611459. The reversal of 10115611440 is 4411651101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10115611440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915871 + ... + 926849.

It is an arithmetic number, because the mean of its divisors is an integer number (214439400).

Almost surely, 2^10115611440 is an apocalyptic number.

10115611440 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 10115611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152000).

10115611440 is an abundant number, since it is smaller than the sum of its proper divisors (24194692560).

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

10115611440 is a wasteful number, since it uses less digits than its factorization.

10115611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 10115611440 in words is "ten billion, one hundred fifteen million, six hundred eleven thousand, four hundred forty".