42187363232400 has 405 divisors, whose sum is σ = 147977843338377. Its totient is φ = 11130140448000.

The previous prime is 42187363232381. The next prime is 42187363232449. The reversal of 42187363232400 is 423236378124.

The square root of 42187363232400 is 6495180.

It is a perfect power (a square), and thus also a powerful number.

42187363232400 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 7 + 3 + 6 + 3 + 232 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15187450763664 + 26999912468736 = 3897108^2 + 5196144^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40140211875 + ... + 40140212925.

Almost surely, 2^{42187363232400} is an apocalyptic number.

42187363232400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42187363232400 is the 6495180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42187363232400

42187363232400 is an abundant number, since it is smaller than the sum of its proper divisors (105790480105977).

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

42187363232400 is a wasteful number, since it uses less digits than its factorization.

42187363232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 42187363232400 in words is "forty-two trillion, one hundred eighty-seven billion, three hundred sixty-three million, two hundred thirty-two thousand, four hundred".