461492100397440 has 4608 divisors, whose sum is σ = 2051188576819200. Its totient is φ = 98694701973504.

The previous prime is 461492100397409. The next prime is 461492100397519. The reversal of 461492100397440 is 44793001294164.

It is a happy number.

461492100397440 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 9 + 2 + 100 + 3 + 97 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1630714135539 + ... + 1630714135821.

It is an arithmetic number, because the mean of its divisors is an integer number (445136409900).

Almost surely, 2^{461492100397440} is an apocalyptic number.

461492100397440 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 461492100397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025594288409600).

461492100397440 is an abundant number, since it is smaller than the sum of its proper divisors (1589696476421760).

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

461492100397440 is a wasteful number, since it uses less digits than its factorization.

461492100397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 461492100397440 in words is "four hundred sixty-one trillion, four hundred ninety-two billion, one hundred million, three hundred ninety-seven thousand, four hundred forty".