961504038977040 has 960 divisors, whose sum is σ = 3642886320353280. Its totient is φ = 225666676408320.

The previous prime is 961504038977029. The next prime is 961504038977149. The reversal of 961504038977040 is 40779830405169.

961504038977040 is a `hidden beast` number, since 9 + 6 + 1 + 504 + 0 + 3 + 89 + 7 + 7 + 0 + 40 = 666.

It is a super-3 number, since 3×961504038977040³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5887554906 + ... + 5887718214.

It is an arithmetic number, because the mean of its divisors is an integer number (3794673250368).

Almost surely, 2^{961504038977040} is an apocalyptic number.

961504038977040 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 961504038977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821443160176640).

961504038977040 is an abundant number, since it is smaller than the sum of its proper divisors (2681382281376240).

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

961504038977040 is a wasteful number, since it uses less digits than its factorization.

961504038977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163672 (or 163663 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 961504038977040 in words is "nine hundred sixty-one trillion, five hundred four billion, thirty-eight million, nine hundred seventy-seven thousand, forty".