461825753181240 has 256 divisors, whose sum is σ = 1618011566899200. Its totient is φ = 103255460891136.

The previous prime is 461825753181229. The next prime is 461825753181281. The reversal of 461825753181240 is 42181357528164.

It is a super-3 number, since 3×461825753181240³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66120217 + ... + 72770423.

It is an arithmetic number, because the mean of its divisors is an integer number (6320357683200).

Almost surely, 2^{461825753181240} is an apocalyptic number.

461825753181240 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 461825753181240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809005783449600).

461825753181240 is an abundant number, since it is smaller than the sum of its proper divisors (1156185813717960).

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

461825753181240 is a wasteful number, since it uses less digits than its factorization.

461825753181240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652034 (or 6652030 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 461825753181240 in words is "four hundred sixty-one trillion, eight hundred twenty-five billion, seven hundred fifty-three million, one hundred eighty-one thousand, two hundred forty".