42251306400 has 576 divisors, whose sum is σ = 162439603200. Its totient is φ = 10578677760.

The previous prime is 42251306399. The next prime is 42251306417. The reversal of 42251306400 is 460315224.

42251306400 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 13 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 23175889 + ... + 23177711.

It is an arithmetic number, because the mean of its divisors is an integer number (282013200).

Almost surely, 2^42251306400 is an apocalyptic number.

42251306400 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 42251306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81219801600).

42251306400 is an abundant number, since it is smaller than the sum of its proper divisors (120188296800).

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

42251306400 is a wasteful number, since it uses less digits than its factorization.

42251306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 42251306400 in words is "forty-two billion, two hundred fifty-one million, three hundred six thousand, four hundred".