42870422400 has 384 divisors, whose sum is σ = 152751160800. Its totient is φ = 10505256960.

The previous prime is 42870422389. The next prime is 42870422429. The reversal of 42870422400 is 422407824.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33570562 + ... + 33571838.

Almost surely, 2^42870422400 is an apocalyptic number.

42870422400 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 42870422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76375580400).

42870422400 is an abundant number, since it is smaller than the sum of its proper divisors (109880738400).

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

42870422400 is a wasteful number, since it uses less digits than its factorization.

42870422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 42870422400 in words is "forty-two billion, eight hundred seventy million, four hundred twenty-two thousand, four hundred".