10074996400 has 240 divisors, whose sum is σ = 28793712640. Its totient is φ = 3315686400.

The previous prime is 10074996361. The next prime is 10074996403. The reversal of 10074996400 is 469947001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10074996403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8183785 + ... + 8185015.

Almost surely, 2^10074996400 is an apocalyptic number.

10074996400 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 10074996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396856320).

10074996400 is an abundant number, since it is smaller than the sum of its proper divisors (18718716240).

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

10074996400 is a wasteful number, since it uses less digits than its factorization.

10074996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 10074996400 in words is "ten billion, seventy-four million, nine hundred ninety-six thousand, four hundred".