42063657592320 has 4000 divisors, whose sum is σ = 194083398055008. Its totient is φ = 8652378341376.

The previous prime is 42063657592301. The next prime is 42063657592337. The reversal of 42063657592320 is 2329575636024.

42063657592320 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 36 + 575 + 9 + 2 + 32 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 433645954512 + ... + 433645954608.

Almost surely, 2^{42063657592320} is an apocalyptic number.

42063657592320 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 42063657592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97041699027504).

42063657592320 is an abundant number, since it is smaller than the sum of its proper divisors (152019740462688).

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

42063657592320 is an frugal number, since it uses more digits than its factorization.

42063657592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 42063657592320 in words is "forty-two trillion, sixty-three billion, six hundred fifty-seven million, five hundred ninety-two thousand, three hundred twenty".