52434791346240 has 560 divisors, whose sum is σ = 187858845820800. Its totient is φ = 13882406952960.

The previous prime is 52434791346211. The next prime is 52434791346307. The reversal of 52434791346240 is 4264319743425.

52434791346240 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 4 + 7 + 9 + 1 + 3 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4431977125 + ... + 4431988955.

It is an arithmetic number, because the mean of its divisors is an integer number (335462224680).

Almost surely, 2^{52434791346240} 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 52434791346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929422910400).

52434791346240 is an abundant number, since it is smaller than the sum of its proper divisors (135424054474560).

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

52434791346240 is a wasteful number, since it uses less digits than its factorization.

52434791346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13072 (or 13053 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 52434791346240 in words is "fifty-two trillion, four hundred thirty-four billion, seven hundred ninety-one million, three hundred forty-six thousand, two hundred forty".