10707404400 has 1080 divisors, whose sum is σ = 49349948544. Its totient is φ = 2088115200.

The previous prime is 10707404399. The next prime is 10707404437. The reversal of 10707404400 is 440470701.

It is a super-2 number, since 2×10707404400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100069147 + ... + 100069253.

Almost surely, 2^10707404400 is an apocalyptic number.

10707404400 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 10707404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24674974272).

10707404400 is an abundant number, since it is smaller than the sum of its proper divisors (38642544144).

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

10707404400 is a wasteful number, since it uses less digits than its factorization.

10707404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10707404400 in words is "ten billion, seven hundred seven million, four hundred four thousand, four hundred".