432114012440 has 256 divisors, whose sum is σ = 1209650112000. Its totient is φ = 136845434880.

The previous prime is 432114012439. The next prime is 432114012469. The reversal of 432114012440 is 44210411234.

It is a congruent number.

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, 6075806 + ... + 6146514.

It is an arithmetic number, because the mean of its divisors is an integer number (4725195750).

Almost surely, 2^432114012440 is an apocalyptic number.

432114012440 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 432114012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604825056000).

432114012440 is an abundant number, since it is smaller than the sum of its proper divisors (777536099560).

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

432114012440 is a wasteful number, since it uses less digits than its factorization.

432114012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70810 (or 70806 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 432114012440 its reverse (44210411234), we get a palindrome (476324423674).

The spelling of 432114012440 in words is "four hundred thirty-two billion, one hundred fourteen million, twelve thousand, four hundred forty".