10013494400 has 384 divisors, whose sum is σ = 30789279360. Its totient is φ = 3133440000.

The previous prime is 10013494391. The next prime is 10013494417. The reversal of 10013494400 is 449431001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10013494400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39894275 + ... + 39894525.

It is an arithmetic number, because the mean of its divisors is an integer number (80180415).

Almost surely, 2^10013494400 is an apocalyptic number.

10013494400 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 10013494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394639680).

10013494400 is an abundant number, since it is smaller than the sum of its proper divisors (20775784960).

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

10013494400 is a wasteful number, since it uses less digits than its factorization.

10013494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10013494400 in words is "ten billion, thirteen million, four hundred ninety-four thousand, four hundred".