42090677161920 has 224 divisors, whose sum is σ = 149570403220800. Its totient is φ = 11142251937792.

The previous prime is 42090677161901. The next prime is 42090677161931. The reversal of 42090677161920 is 2916177609024.

42090677161920 is a `hidden beast` number, since 420 + 9 + 0 + 6 + 7 + 71 + 61 + 92 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16595905 + ... + 18963264.

Almost surely, 2^{42090677161920} is an apocalyptic number.

42090677161920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42090677161920 is an abundant number, since it is smaller than the sum of its proper divisors (107479726058880).

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

42090677161920 is a wasteful number, since it uses less digits than its factorization.

42090677161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35559332 (or 35559316 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 42090677161920 in words is "forty-two trillion, ninety billion, six hundred seventy-seven million, one hundred sixty-one thousand, nine hundred twenty".