512161453440 has 3072 divisors, whose sum is σ = 2525160960000. Its totient is φ = 97282031616.

The previous prime is 512161453409. The next prime is 512161453451. The reversal of 512161453440 is 44354161215.

512161453440 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 614 + 5 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 512161453395 and 512161453404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22267889269 + ... + 22267889291.

It is an arithmetic number, because the mean of its divisors is an integer number (821992500).

Almost surely, 2^512161453440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512161453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262580480000).

512161453440 is an abundant number, since it is smaller than the sum of its proper divisors (2012999506560).

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

512161453440 is a wasteful number, since it uses less digits than its factorization.

512161453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 512161453440 in words is "five hundred twelve billion, one hundred sixty-one million, four hundred fifty-three thousand, four hundred forty".