42622672510400 has 168 divisors, whose sum is σ = 106696711519536. Its totient is φ = 16754695372800.

The previous prime is 42622672510393. The next prime is 42622672510409. The reversal of 42622672510400 is 401527622624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42622672510409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44658992 + ... + 45603408.

Almost surely, 2^{42622672510400} is an apocalyptic number.

42622672510400 is a gapful number since it is divisible by the number (40) 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 42622672510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53348355759768).

42622672510400 is an abundant number, since it is smaller than the sum of its proper divisors (64074039009136).

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

42622672510400 is a wasteful number, since it uses less digits than its factorization.

42622672510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944927 (or 944912 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 42622672510400 in words is "forty-two trillion, six hundred twenty-two billion, six hundred seventy-two million, five hundred ten thousand, four hundred".