1401013118736 has 1125 divisors, whose sum is σ = 5286255563589. Its totient is φ = 357933945600.

The previous prime is 1401013118719. The next prime is 1401013118759. The reversal of 1401013118736 is 6378113101041.

It is a happy number.

The square root of 1401013118736 is 1183644.

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., 45558341136 + 1355454777600 = 213444^2 + 1164240^2 .

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 1401013118736.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 22967428146 + ... + 22967428206.

Almost surely, 2^{1401013118736} is an apocalyptic number.

1401013118736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1401013118736 is the 1183644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401013118736

1401013118736 is an abundant number, since it is smaller than the sum of its proper divisors (3885242444853).

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

1401013118736 is an frugal number, since it uses more digits than its factorization.

1401013118736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 1401013118736 by its sum of digits (36), we get a square (50436472274496 = 7101864²).

1401013118736 divided by its sum of digits (36) gives a square (38917031076 = 197274²).

Adding to 1401013118736 its reverse (6378113101041), we get a palindrome (7779126219777).

The spelling of 1401013118736 in words is "one trillion, four hundred one billion, thirteen million, one hundred eighteen thousand, seven hundred thirty-six".