1656325440 has 756 divisors, whose sum is σ = 7359543828. Its totient is φ = 340623360.

The previous prime is 1656325409. The next prime is 1656325441. The reversal of 1656325440 is 445236561.

1656325440 is a `hidden beast` number, since 1 + 6 + 563 + 2 + 54 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 986965056 = 25872^2 + 31416^2 .

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 = 1656325395 and 1656325404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656325441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17075472 + ... + 17075568.

Almost surely, 2^1656325440 is an apocalyptic number.

1656325440 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 1656325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679771914).

1656325440 is an abundant number, since it is smaller than the sum of its proper divisors (5703218388).

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

1656325440 is a wasteful number, since it uses less digits than its factorization.

1656325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1656325440 is about 40697.9783281676. The cubic root of 1656325440 is about 1183.1738362472.

The spelling of 1656325440 in words is "one billion, six hundred fifty-six million, three hundred twenty-five thousand, four hundred forty".