42362812800 has 864 divisors, whose sum is σ = 191895139800. Its totient is φ = 8799436800.

The previous prime is 42362812787. The next prime is 42362812871. The reversal of 42362812800 is 821826324.

42362812800 is a `hidden beast` number, since 4 + 2 + 3 + 628 + 1 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15521836 + ... + 15524564.

Almost surely, 2^42362812800 is an apocalyptic number.

42362812800 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 42362812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95947569900).

42362812800 is an abundant number, since it is smaller than the sum of its proper divisors (149532327000).

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

42362812800 is a wasteful number, since it uses less digits than its factorization.

42362812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42362812800 in words is "forty-two billion, three hundred sixty-two million, eight hundred twelve thousand, eight hundred".