461349786240 has 768 divisors, whose sum is σ = 2012583542400. Its totient is φ = 99245260800.

The previous prime is 461349786199. The next prime is 461349786343. The reversal of 461349786240 is 42687943164.

461349786240 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 4 + 9 + 7 + 8 + 624 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14378215 + ... + 14410265.

Almost surely, 2^461349786240 is an apocalyptic number.

461349786240 is a gapful number since it is divisible by the number (40) 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 461349786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006291771200).

461349786240 is an abundant number, since it is smaller than the sum of its proper divisors (1551233756160).

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

461349786240 is a wasteful number, since it uses less digits than its factorization.

461349786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32110 (or 32085 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 461349786240 in words is "four hundred sixty-one billion, three hundred forty-nine million, seven hundred eighty-six thousand, two hundred forty".