22400400629376 has 768 divisors, whose sum is σ = 81026513568000. Its totient is φ = 5770593239040.

The previous prime is 22400400629357. The next prime is 22400400629393. The reversal of 22400400629376 is 67392600400422.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6098664276 + ... + 6098667948.

It is an arithmetic number, because the mean of its divisors is an integer number (105503272875).

Almost surely, 2^{22400400629376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400400629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40513256784000).

22400400629376 is an abundant number, since it is smaller than the sum of its proper divisors (58626112938624).

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

22400400629376 is a wasteful number, since it uses less digits than its factorization.

22400400629376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 22400400629376 in words is "twenty-two trillion, four hundred billion, four hundred million, six hundred twenty-nine thousand, three hundred seventy-six".