10445662400 has 168 divisors, whose sum is σ = 26674151376. Its totient is φ = 4022784000.

The previous prime is 10445662349. The next prime is 10445662417. The reversal of 10445662400 is 426654401.

It is a super-2 number, since 2×10445662400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5978327 + ... + 5980073.

Almost surely, 2^10445662400 is an apocalyptic number.

10445662400 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 10445662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337075688).

10445662400 is an abundant number, since it is smaller than the sum of its proper divisors (16228488976).

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

10445662400 is a wasteful number, since it uses less digits than its factorization.

10445662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 10445662400 in words is "ten billion, four hundred forty-five million, six hundred sixty-two thousand, four hundred".