42144932579904 has 1008 divisors, whose sum is σ = 156403467020736. Its totient is φ = 10725571584000.

The previous prime is 42144932579843. The next prime is 42144932579929. The reversal of 42144932579904 is 40997523944124.

42144932579904 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 493 + 2 + 57 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17293774974 + ... + 17293777410.

Almost surely, 2^{42144932579904} is an apocalyptic number.

42144932579904 is a gapful number since it is divisible by the number (44) 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 42144932579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78201733510368).

42144932579904 is an abundant number, since it is smaller than the sum of its proper divisors (114258534440832).

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

42144932579904 is a wasteful number, since it uses less digits than its factorization.

42144932579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 42144932579904 in words is "forty-two trillion, one hundred forty-four billion, nine hundred thirty-two million, five hundred seventy-nine thousand, nine hundred four".