432621798840 has 768 divisors, whose sum is σ = 1849595904000. Its totient is φ = 84962442240.

The previous prime is 432621798793. The next prime is 432621798899. The reversal of 432621798840 is 48897126234.

432621798840 is a `hidden beast` number, since 4 + 3 + 2 + 621 + 7 + 9 + 8 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326014257 + ... + 326015583.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328000).

Almost surely, 2^432621798840 is an apocalyptic number.

432621798840 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 432621798840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924797952000).

432621798840 is an abundant number, since it is smaller than the sum of its proper divisors (1416974105160).

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

432621798840 is a wasteful number, since it uses less digits than its factorization.

432621798840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 432621798840 in words is "four hundred thirty-two billion, six hundred twenty-one million, seven hundred ninety-eight thousand, eight hundred forty".