9461087971200 has 1728 divisors, whose sum is σ = 37247338674000. Its totient is φ = 2370274099200.

The previous prime is 9461087971193. The next prime is 9461087971201. The reversal of 9461087971200 is 21797801649.

9461087971200 is a `hidden beast` number, since 9 + 4 + 610 + 8 + 7 + 9 + 7 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×9461087971200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9461087971201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24963292611 + ... + 24963292989.

Almost surely, 2^{9461087971200} is an apocalyptic number.

9461087971200 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 9461087971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623669337000).

9461087971200 is an abundant number, since it is smaller than the sum of its proper divisors (27786250702800).

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

9461087971200 is an equidigital number, since it uses as much as digits as its factorization.

9461087971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 9461087971200 in words is "nine trillion, four hundred sixty-one billion, eighty-seven million, nine hundred seventy-one thousand, two hundred".