42253600400 has 240 divisors, whose sum is σ = 114185066688. Its totient is φ = 14890752000.

The previous prime is 42253600399. The next prime is 42253600423. The reversal of 42253600400 is 400635224.

It is a self number, because there is not a number n which added to its sum of digits gives 42253600400.

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, 75050519 + ... + 75051081.

Almost surely, 2^42253600400 is an apocalyptic number.

42253600400 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 42253600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57092533344).

42253600400 is an abundant number, since it is smaller than the sum of its proper divisors (71931466288).

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

42253600400 is a wasteful number, since it uses less digits than its factorization.

42253600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The spelling of 42253600400 in words is "forty-two billion, two hundred fifty-three million, six hundred thousand, four hundred".