433364116552320 has 512 divisors, whose sum is σ = 1501148381184000. Its totient is φ = 105936187392000.

The previous prime is 433364116552309. The next prime is 433364116552331. The reversal of 433364116552320 is 23255611463334.

It is an interprime number because it is at equal distance from previous prime (433364116552309) and next prime (433364116552331).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 433364116552320.

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, 10957076545 + ... + 10957116095.

It is an arithmetic number, because the mean of its divisors is an integer number (2931930432000).

Almost surely, 2^{433364116552320} is an apocalyptic number.

433364116552320 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 433364116552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750574190592000).

433364116552320 is an abundant number, since it is smaller than the sum of its proper divisors (1067784264631680).

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

433364116552320 is a wasteful number, since it uses less digits than its factorization.

433364116552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49312 (or 49300 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 433364116552320 in words is "four hundred thirty-three trillion, three hundred sixty-four billion, one hundred sixteen million, five hundred fifty-two thousand, three hundred twenty".