432381776040 has 192 divisors, whose sum is σ = 1489930977600. Its totient is φ = 108371367936.

The previous prime is 432381776011. The next prime is 432381776059. The reversal of 432381776040 is 40677183234.

432381776040 is a `hidden beast` number, since 4 + 3 + 2 + 38 + 1 + 7 + 7 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4474879 + ... + 4570481.

It is an arithmetic number, because the mean of its divisors is an integer number (7760057175).

Almost surely, 2^432381776040 is an apocalyptic number.

432381776040 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 432381776040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744965488800).

432381776040 is an abundant number, since it is smaller than the sum of its proper divisors (1057549201560).

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

432381776040 is a wasteful number, since it uses less digits than its factorization.

432381776040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96376 (or 96369 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 43238 and 1776040, that added together give a triangular number (1819278 = T₁₉₀₇).

The spelling of 432381776040 in words is "four hundred thirty-two billion, three hundred eighty-one million, seven hundred seventy-six thousand, forty".