461709642240 has 2400 divisors, whose sum is σ = 2231159857344. Its totient is φ = 90296156160.

The previous prime is 461709642217. The next prime is 461709642271. The reversal of 461709642240 is 42246907164.

461709642240 is a `hidden beast` number, since 4 + 617 + 0 + 9 + 6 + 4 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27159390712 + ... + 27159390728.

Almost surely, 2^461709642240 is an apocalyptic number.

461709642240 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 461709642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115579928672).

461709642240 is an abundant number, since it is smaller than the sum of its proper divisors (1769450215104).

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

461709642240 is an frugal number, since it uses more digits than its factorization.

461709642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 461709642240 in words is "four hundred sixty-one billion, seven hundred nine million, six hundred forty-two thousand, two hundred forty".