461191349034400 has 72 divisors (see below), whose sum is σ = 1141306440986124. Its totient is φ = 181949463705600.

The previous prime is 461191349034391. The next prime is 461191349034433. The reversal of 461191349034400 is 4430943191164.

It can be written as a sum of positive squares in 6 ways, for example, as 273177560711056 + 188013788323344 = 16528084^2 + 13711812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3948497671 + ... + 3948614470.

Almost surely, 2^{461191349034400} is an apocalyptic number.

461191349034400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461191349034400 is an abundant number, since it is smaller than the sum of its proper divisors (680115091951724).

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

461191349034400 is a wasteful number, since it uses less digits than its factorization.

461191349034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897112234 (or 7897112221 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 461191349034400 in words is "four hundred sixty-one trillion, one hundred ninety-one billion, three hundred forty-nine million, thirty-four thousand, four hundred".