432255311040 has 672 divisors, whose sum is σ = 1640433380544. Its totient is φ = 96117719040.

The previous prime is 432255311039. The next prime is 432255311057. The reversal of 432255311040 is 40113552234.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 432255310989 and 432255311007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278334904 + ... + 278336456.

It is an arithmetic number, because the mean of its divisors is an integer number (2441121102).

Almost surely, 2^432255311040 is an apocalyptic number.

432255311040 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 432255311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820216690272).

432255311040 is an abundant number, since it is smaller than the sum of its proper divisors (1208178069504).

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

432255311040 is a wasteful number, since it uses less digits than its factorization.

432255311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 432255311040 its reverse (40113552234), we get a palindrome (472368863274).

The spelling of 432255311040 in words is "four hundred thirty-two billion, two hundred fifty-five million, three hundred eleven thousand, forty".