1260149934096 has 135 divisors (see below), whose sum is σ = 3557509897149. Its totient is φ = 416408380416.

The previous prime is 1260149934083. The next prime is 1260149934097. The reversal of 1260149934096 is 6904399410621.

It is a happy number.

The square root of 1260149934096 is 1122564.

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

1260149934096 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 149 + 93 + 409 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412395152400 + 847754781696 = 642180^2 + 920736^2 .

It is not an unprimeable number, because it can be changed into a prime (1260149934097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1872436416 + ... + 1872437088.

Almost surely, 2^{1260149934096} is an apocalyptic number.

1260149934096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1260149934096 is the 1122564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260149934096

1260149934096 is an abundant number, since it is smaller than the sum of its proper divisors (2297359963053).

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

1260149934096 is an frugal number, since it uses more digits than its factorization.

1260149934096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1260149934096 in words is "one trillion, two hundred sixty billion, one hundred forty-nine million, nine hundred thirty-four thousand, ninety-six".