42044455252800 has 9072 divisors, whose sum is σ = 226320691798656. Its totient is φ = 7587385344000.

The previous prime is 42044455252783. The next prime is 42044455252853. The reversal of 42044455252800 is 825255444024.

42044455252800 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 4 + 45 + 525 + 2 + 80 + 0 = 666.

42044455252800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 689253364770 + ... + 689253364830.

Almost surely, 2^{42044455252800} is an apocalyptic number.

42044455252800 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 42044455252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113160345899328).

42044455252800 is an abundant number, since it is smaller than the sum of its proper divisors (184276236545856).

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

42044455252800 is a wasteful number, since it uses less digits than its factorization.

42044455252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

The spelling of 42044455252800 in words is "forty-two trillion, forty-four billion, four hundred fifty-five million, two hundred fifty-two thousand, eight hundred".