10642621400312 has 192 divisors, whose sum is σ = 22767545149920. Its totient is φ = 4624763520000.

The previous prime is 10642621400267. The next prime is 10642621400393. The reversal of 10642621400312 is 21300412624601.

It is a super-2 number, since 2×10642621400312² (a number of 27 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 47 ways as a sum of consecutive naturals, for example, 4757540858 + ... + 4757543094.

Almost surely, 2^{10642621400312} 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 10642621400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383772574960).

10642621400312 is an abundant number, since it is smaller than the sum of its proper divisors (12124923749608).

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

10642621400312 is a wasteful number, since it uses less digits than its factorization.

10642621400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10642621400312 in words is "ten trillion, six hundred forty-two billion, six hundred twenty-one million, four hundred thousand, three hundred twelve".