10903616040 has 128 divisors (see below), whose sum is σ = 33891696000. Its totient is φ = 2802981888.

The previous prime is 10903616033. The next prime is 10903616041. The reversal of 10903616040 is 4061630901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10903615989 and 10903616007.

It is not an unprimeable number, because it can be changed into a prime (10903616041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2632291 + ... + 2636429.

It is an arithmetic number, because the mean of its divisors is an integer number (264778875).

Almost surely, 2^10903616040 is an apocalyptic number.

10903616040 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 10903616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945848000).

10903616040 is an abundant number, since it is smaller than the sum of its proper divisors (22988079960).

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

10903616040 is a wasteful number, since it uses less digits than its factorization.

10903616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 10903616040 in words is "ten billion, nine hundred three million, six hundred sixteen thousand, forty".