42164582400 has 432 divisors, whose sum is σ = 156645052200. Its totient is φ = 11240570880.

The previous prime is 42164582363. The next prime is 42164582423. The reversal of 42164582400 is 428546124.

42164582400 is a `hidden beast` number, since 4 + 2 + 1 + 645 + 8 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12439906 + ... + 12443294.

Almost surely, 2^42164582400 is an apocalyptic number.

42164582400 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 42164582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78322526100).

42164582400 is an abundant number, since it is smaller than the sum of its proper divisors (114480469800).

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

42164582400 is an equidigital number, since it uses as much as digits as its factorization.

42164582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42164582400 in words is "forty-two billion, one hundred sixty-four million, five hundred eighty-two thousand, four hundred".