961908654709440 has 672 divisors, whose sum is σ = 3573129452046336. Its totient is φ = 246037656453120.

The previous prime is 961908654709423. The next prime is 961908654709447. The reversal of 961908654709440 is 44907456809169.

961908654709440 is a `hidden beast` number, since 9 + 6 + 1 + 9 + 0 + 8 + 65 + 470 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×961908654709440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (961908654709447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270627619 + ... + 274158941.

It is an arithmetic number, because the mean of its divisors is an integer number (5317156922688).

Almost surely, 2^{961908654709440} is an apocalyptic number.

961908654709440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961908654709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786564726023168).

961908654709440 is an abundant number, since it is smaller than the sum of its proper divisors (2611220797336896).

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

961908654709440 is a wasteful number, since it uses less digits than its factorization.

961908654709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531499 (or 3531477 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 961908654709440 in words is "nine hundred sixty-one trillion, nine hundred eight billion, six hundred fifty-four million, seven hundred nine thousand, four hundred forty".