452121740928 has 896 divisors, whose sum is σ = 1639218792960. Its totient is φ = 122276044800.

The previous prime is 452121740909. The next prime is 452121740933. The reversal of 452121740928 is 829047121254.

452121740928 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 217 + 409 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 413651550 + ... + 413652642.

It is an arithmetic number, because the mean of its divisors is an integer number (1829485260).

Almost surely, 2^452121740928 is an apocalyptic number.

452121740928 is a gapful number since it is divisible by the number (48) 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 452121740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819609396480).

452121740928 is an abundant number, since it is smaller than the sum of its proper divisors (1187097052032).

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

452121740928 is a wasteful number, since it uses less digits than its factorization.

452121740928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 452121740928 in words is "four hundred fifty-two billion, one hundred twenty-one million, seven hundred forty thousand, nine hundred twenty-eight".