961202645348400 has 360 divisors, whose sum is σ = 4105403299976160. Its totient is φ = 202803195432960.

The previous prime is 961202645348399. The next prime is 961202645348417. The reversal of 961202645348400 is 4843546202169.

961202645348400 is a `hidden beast` number, since 9 + 6 + 1 + 2 + 0 + 2 + 64 + 534 + 8 + 40 + 0 = 666.

961202645348400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1466709405 + ... + 1467364604.

Almost surely, 2^{961202645348400} is an apocalyptic number.

961202645348400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961202645348400 is an abundant number, since it is smaller than the sum of its proper divisors (3144200654627760).

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

961202645348400 is a wasteful number, since it uses less digits than its factorization.

961202645348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934074053 (or 2934074039 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 961202645348400 in words is "nine hundred sixty-one trillion, two hundred two billion, six hundred forty-five million, three hundred forty-eight thousand, four hundred".