42564471038208 has 864 divisors, whose sum is σ = 150711452236800. Its totient is φ = 11729209909248.

The previous prime is 42564471038171. The next prime is 42564471038231. The reversal of 42564471038208 is 80283017446524.

42564471038208 is a `hidden beast` number, since 4 + 2 + 564 + 4 + 71 + 0 + 3 + 8 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1361655283 + ... + 1361686541.

It is an arithmetic number, because the mean of its divisors is an integer number (174434551200).

Almost surely, 2^{42564471038208} is an apocalyptic number.

42564471038208 is a gapful number since it is divisible by the number (48) 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 42564471038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75355726118400).

42564471038208 is an abundant number, since it is smaller than the sum of its proper divisors (108146981198592).

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

42564471038208 is an equidigital number, since it uses as much as digits as its factorization.

42564471038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31409 (or 31383 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 42564471038208 in words is "forty-two trillion, five hundred sixty-four billion, four hundred seventy-one million, thirty-eight thousand, two hundred eight".