42974422400 has 384 divisors, whose sum is σ = 138360519360. Its totient is φ = 12799180800.

The previous prime is 42974422391. The next prime is 42974422409. The reversal of 42974422400 is 422447924.

It is an interprime number because it is at equal distance from previous prime (42974422391) and next prime (42974422409).

It is a super-2 number, since 2×42974422400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42974422409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4946060 + ... + 4954740.

Almost surely, 2^42974422400 is an apocalyptic number.

42974422400 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 42974422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69180259680).

42974422400 is an abundant number, since it is smaller than the sum of its proper divisors (95386096960).

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

42974422400 is a wasteful number, since it uses less digits than its factorization.

42974422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 42974422400 in words is "forty-two billion, nine hundred seventy-four million, four hundred twenty-two thousand, four hundred".