961403782144 has 99 divisors (see below), whose sum is σ = 2081960060007. Its totient is φ = 443536564224.

The previous prime is 961403782117. The next prime is 961403782147. The reversal of 961403782144 is 441287304169.

It is a happy number.

The square root of 961403782144 is 980512.

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

It can be written as a sum of positive squares in 4 ways, for example, as 432816620544 + 528587161600 = 657888^2 + 727040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961403782147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 407891814 + ... + 407894170.

Almost surely, 2^961403782144 is an apocalyptic number.

961403782144 is the 980512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961403782144

961403782144 is an abundant number, since it is smaller than the sum of its proper divisors (1120556277863).

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

961403782144 is an frugal number, since it uses more digits than its factorization.

961403782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 961403782144 by its sum of digits (49), we get a square (47108785325056 = 6863584²).

The spelling of 961403782144 in words is "nine hundred sixty-one billion, four hundred three million, seven hundred eighty-two thousand, one hundred forty-four".