30965040261376 has 243 divisors, whose sum is σ = 69238294077897. Its totient is φ = 13814512957440.

The previous prime is 30965040261329. The next prime is 30965040261409. The reversal of 30965040261376 is 67316204056903.

It is a happy number.

The square root of 30965040261376 is 5564624.

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

It can be written as a sum of positive squares in only one way, i.e., 4580627257600 + 26384413003776 = 2140240^2 + 5136576^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35880695121 + ... + 35880695983.

Almost surely, 2^{30965040261376} is an apocalyptic number.

30965040261376 is the 5564624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30965040261376

30965040261376 is an abundant number, since it is smaller than the sum of its proper divisors (38273253816521).

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

30965040261376 is an frugal number, since it uses more digits than its factorization.

30965040261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 30965040261376 in words is "thirty trillion, nine hundred sixty-five billion, forty million, two hundred sixty-one thousand, three hundred seventy-six".