1540120712256 has 567 divisors, whose sum is σ = 5256883177221. Its totient is φ = 429848229888.

The previous prime is 1540120712233. The next prime is 1540120712257. The reversal of 1540120712256 is 6522170210451.

The square root of 1540120712256 is 1241016.

It is a perfect power (a square), and thus also a powerful number.

1540120712256 is a `hidden beast` number, since 1 + 5 + 401 + 20 + 7 + 1 + 225 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295735841856 + 1244384870400 = 543816^2 + 1115520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1540120712256.

It is not an unprimeable number, because it can be changed into a prime (1540120712257) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17304727060 + ... + 17304727148.

Almost surely, 2^{1540120712256} is an apocalyptic number.

1540120712256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1540120712256 is the 1241016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540120712256

1540120712256 is an abundant number, since it is smaller than the sum of its proper divisors (3716762464965).

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

1540120712256 is an frugal number, since it uses more digits than its factorization.

1540120712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 1540120712256 by its sum of digits (36), we get a square (55444345641216 = 7446096²).

1540120712256 divided by its sum of digits (36) gives a square (42781130896 = 206836²).

The spelling of 1540120712256 in words is "one trillion, five hundred forty billion, one hundred twenty million, seven hundred twelve thousand, two hundred fifty-six".