42545664288000 has 576 divisors, whose sum is σ = 162431617420800. Its totient is φ = 10954279526400.

The previous prime is 42545664287993. The next prime is 42545664288007. The reversal of 42545664288000 is 88246654524.

42545664288000 is a `hidden beast` number, since 4 + 2 + 54 + 566 + 4 + 28 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42545664287993) and next prime (42545664288007).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42545664288007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24206989 + ... + 25905011.

It is an arithmetic number, because the mean of its divisors is an integer number (281999335800).

Almost surely, 2^{42545664288000} is an apocalyptic number.

42545664288000 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 42545664288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81215808710400).

42545664288000 is an abundant number, since it is smaller than the sum of its proper divisors (119885953132800).

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

42545664288000 is a wasteful number, since it uses less digits than its factorization.

42545664288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698092 (or 1698062 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 42545664288000 in words is "forty-two trillion, five hundred forty-five billion, six hundred sixty-four million, two hundred eighty-eight thousand".