432242000400100 has 72 divisors (see below), whose sum is σ = 1038506858994528. Its totient is φ = 154832955340800.

The previous prime is 432242000400029. The next prime is 432242000400211. The reversal of 432242000400100 is 1004000242234.

It is a happy number.

It is a super-3 number, since 3×432242000400100³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2932368637 + ... + 2932516036.

It is an arithmetic number, because the mean of its divisors is an integer number (14423706374924).

Almost surely, 2^{432242000400100} is an apocalyptic number.

It is an amenable number.

432242000400100 is an abundant number, since it is smaller than the sum of its proper divisors (606264858594428).

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

432242000400100 is a wasteful number, since it uses less digits than its factorization.

432242000400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864884765 (or 5864884758 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 432242000400100 its reverse (1004000242234), we get a palindrome (433246000642334).

The spelling of 432242000400100 in words is "four hundred thirty-two trillion, two hundred forty-two billion, four hundred thousand, one hundred".