13940157257104 has 135 divisors (see below), whose sum is σ = 30874965529473. Its totient is φ = 6093678494592.

The previous prime is 13940157257077. The next prime is 13940157257149. The reversal of 13940157257104 is 40175275104931.

The square root of 13940157257104 is 3733652.

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., 2062153440400 + 11878003816704 = 1436020^2 + 3446448^2 .

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, 3688846287 + ... + 3688850065.

Almost surely, 2^{13940157257104} is an apocalyptic number.

13940157257104 is the 3733652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940157257104

13940157257104 is an abundant number, since it is smaller than the sum of its proper divisors (16934808272369).

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

13940157257104 is an frugal number, since it uses more digits than its factorization.

13940157257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 13940157257104 by its sum of digits (49), we get a square (683067705598096 = 26135564²).

The spelling of 13940157257104 in words is "thirteen trillion, nine hundred forty billion, one hundred fifty-seven million, two hundred fifty-seven thousand, one hundred four".