461493795840 has 1408 divisors, whose sum is σ = 1952316850176. Its totient is φ = 90243072000.

The previous prime is 461493795839. The next prime is 461493795857. The reversal of 461493795840 is 48597394164.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1503236967 + ... + 1503237273.

It is an arithmetic number, because the mean of its divisors is an integer number (1386588672).

Almost surely, 2^461493795840 is an apocalyptic number.

461493795840 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 461493795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976158425088).

461493795840 is an abundant number, since it is smaller than the sum of its proper divisors (1490823054336).

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

461493795840 is a wasteful number, since it uses less digits than its factorization.

461493795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 461493795840 in words is "four hundred sixty-one billion, four hundred ninety-three million, seven hundred ninety-five thousand, eight hundred forty".