432400444120040 has 256 divisors, whose sum is σ = 1092841072646400. Its totient is φ = 152661086208000.

The previous prime is 432400444120027. The next prime is 432400444120067. The reversal of 432400444120040 is 40021444004234.

It is a junction number, because it is equal to n+sod(n) for n = 432400444119979 and 432400444120006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469403987 + ... + 470324253.

It is an arithmetic number, because the mean of its divisors is an integer number (4268910440025).

Almost surely, 2^{432400444120040} is an apocalyptic number.

432400444120040 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 432400444120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546420536323200).

432400444120040 is an abundant number, since it is smaller than the sum of its proper divisors (660440628526360).

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

432400444120040 is a wasteful number, since it uses less digits than its factorization.

432400444120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920596 (or 920592 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 432400444120040 its reverse (40021444004234), we get a palindrome (472421888124274).

The spelling of 432400444120040 in words is "four hundred thirty-two trillion, four hundred billion, four hundred forty-four million, one hundred twenty thousand, forty".