534323993149440 has 1536 divisors, whose sum is σ = 2068304430366720. Its totient is φ = 126756480614400.

The previous prime is 534323993149411. The next prime is 534323993149487. The reversal of 534323993149440 is 44941399323435.

534323993149440 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 23 + 99 + 31 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65233055745 + ... + 65233063935.

It is an arithmetic number, because the mean of its divisors is an integer number (1346552363520).

Almost surely, 2^{534323993149440} 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 534323993149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034152215183360).

534323993149440 is an abundant number, since it is smaller than the sum of its proper divisors (1533980437217280).

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

534323993149440 is a wasteful number, since it uses less digits than its factorization.

534323993149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8369 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 534323993149440 in words is "five hundred thirty-four trillion, three hundred twenty-three billion, nine hundred ninety-three million, one hundred forty-nine thousand, four hundred forty".