433798238720 has 480 divisors, whose sum is σ = 1348187639040. Its totient is φ = 132313251840.

The previous prime is 433798238717. The next prime is 433798238777. The reversal of 433798238720 is 27832897334.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64849136 + ... + 64855824.

It is an arithmetic number, because the mean of its divisors is an integer number (2808724248).

Almost surely, 2^433798238720 is an apocalyptic number.

433798238720 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 433798238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674093819520).

433798238720 is an abundant number, since it is smaller than the sum of its proper divisors (914389400320).

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

433798238720 is a wasteful number, since it uses less digits than its factorization.

433798238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 433798238720 in words is "four hundred thirty-three billion, seven hundred ninety-eight million, two hundred thirty-eight thousand, seven hundred twenty".