22400628660400 has 120 divisors (see below), whose sum is σ = 54624683867904. Its totient is φ = 8825881785600.

The previous prime is 22400628660391. The next prime is 22400628660427. The reversal of 22400628660400 is 406682600422.

It is a super-2 number, since 2×22400628660400² (a number of 28 digits) contains 22 as substring.

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

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, 585909285 + ... + 585947515.

Almost surely, 2^{22400628660400} is an apocalyptic number.

22400628660400 is a gapful number since it is divisible by the number (20) 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 22400628660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27312341933952).

22400628660400 is an abundant number, since it is smaller than the sum of its proper divisors (32224055207504).

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

22400628660400 is a wasteful number, since it uses less digits than its factorization.

22400628660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60179 (or 60168 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 22400628660400 in words is "twenty-two trillion, four hundred billion, six hundred twenty-eight million, six hundred sixty thousand, four hundred".