42907694284800 has 1440 divisors, whose sum is σ = 168053397366400. Its totient is φ = 10835538739200.

The previous prime is 42907694284783. The next prime is 42907694284837. The reversal of 42907694284800 is 848249670924.

42907694284800 is a `hidden beast` number, since 4 + 2 + 90 + 7 + 69 + 4 + 2 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×42907694284800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17020107540 + ... + 17020110060.

Almost surely, 2^{42907694284800} is an apocalyptic number.

42907694284800 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 42907694284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84026698683200).

42907694284800 is an abundant number, since it is smaller than the sum of its proper divisors (125145703081600).

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

42907694284800 is an frugal number, since it uses more digits than its factorization.

42907694284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 42907694284800 in words is "forty-two trillion, nine hundred seven billion, six hundred ninety-four million, two hundred eighty-four thousand, eight hundred".