42681552721920 has 768 divisors, whose sum is σ = 182519955072000. Its totient is φ = 9242313228288.

The previous prime is 42681552721891. The next prime is 42681552721931. The reversal of 42681552721920 is 2912725518624.

42681552721920 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 1 + 5 + 527 + 21 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36191484 + ... + 37352196.

It is an arithmetic number, because the mean of its divisors is an integer number (237656191500).

Almost surely, 2^{42681552721920} is an apocalyptic number.

42681552721920 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 42681552721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91259977536000).

42681552721920 is an abundant number, since it is smaller than the sum of its proper divisors (139838402350080).

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

42681552721920 is a wasteful number, since it uses less digits than its factorization.

42681552721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160775 (or 1160749 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 42681552721920 in words is "forty-two trillion, six hundred eighty-one billion, five hundred fifty-two million, seven hundred twenty-one thousand, nine hundred twenty".