42164432400 has 120 divisors (see below), whose sum is σ = 135175859104. Its totient is φ = 11234764800.

The previous prime is 42164432381. The next prime is 42164432417. The reversal of 42164432400 is 423446124.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42164432400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542855 + ... + 1569945.

Almost surely, 2^42164432400 is an apocalyptic number.

42164432400 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 42164432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67587929552).

42164432400 is an abundant number, since it is smaller than the sum of its proper divisors (93011426704).

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

42164432400 is a wasteful number, since it uses less digits than its factorization.

42164432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28409 (or 28398 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42164432400 its reverse (423446124), we get a palindrome (42587878524).

The spelling of 42164432400 in words is "forty-two billion, one hundred sixty-four million, four hundred thirty-two thousand, four hundred".