42646302466920 has 320 divisors, whose sum is σ = 146746844640000. Its totient is φ = 11104557414912.

The previous prime is 42646302466883. The next prime is 42646302466967. The reversal of 42646302466920 is 2966420364624.

42646302466920 is a `hidden beast` number, since 4 + 2 + 64 + 6 + 30 + 2 + 466 + 92 + 0 = 666.

It is a super-2 number, since 2×42646302466920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27734209 + ... + 29231471.

It is an arithmetic number, because the mean of its divisors is an integer number (458583889500).

Almost surely, 2^{42646302466920} is an apocalyptic number.

42646302466920 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 42646302466920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73373422320000).

42646302466920 is an abundant number, since it is smaller than the sum of its proper divisors (104100542173080).

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

42646302466920 is a wasteful number, since it uses less digits than its factorization.

42646302466920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497494 (or 1497481 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 42646302466920 in words is "forty-two trillion, six hundred forty-six billion, three hundred two million, four hundred sixty-six thousand, nine hundred twenty".