42544010386800 has 240 divisors, whose sum is σ = 163073252886880. Its totient is φ = 10472371752960.

The previous prime is 42544010386799. The next prime is 42544010386841. The reversal of 42544010386800 is 868301044524.

42544010386800 is a `hidden beast` number, since 4 + 2 + 544 + 0 + 10 + 38 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42544010386800² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151369609 + ... + 151650408.

Almost surely, 2^{42544010386800} is an apocalyptic number.

42544010386800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42544010386800 is an abundant number, since it is smaller than the sum of its proper divisors (120529242500080).

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

42544010386800 is a wasteful number, since it uses less digits than its factorization.

42544010386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303020057 (or 303020040 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42544010386800 in words is "forty-two trillion, five hundred forty-four billion, ten million, three hundred eighty-six thousand, eight hundred".