1564725133440 has 896 divisors, whose sum is σ = 6447494027520. Its totient is φ = 355541114880.

The previous prime is 1564725133379. The next prime is 1564725133469. The reversal of 1564725133440 is 443315274651.

1564725133440 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 72 + 5 + 133 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 591130197 + ... + 591132843.

It is an arithmetic number, because the mean of its divisors is an integer number (7195863870).

Almost surely, 2^{1564725133440} is an apocalyptic number.

1564725133440 is a gapful number since it is divisible by the number (10) 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 1564725133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223747013760).

1564725133440 is an abundant number, since it is smaller than the sum of its proper divisors (4882768894080).

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

1564725133440 is an equidigital number, since it uses as much as digits as its factorization.

1564725133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1564725133440 in words is "one trillion, five hundred sixty-four billion, seven hundred twenty-five million, one hundred thirty-three thousand, four hundred forty".