461138280120 has 1024 divisors, whose sum is σ = 1896901632000. Its totient is φ = 97355022336.

The previous prime is 461138280091. The next prime is 461138280149. The reversal of 461138280120 is 21082831164.

461138280120 is a `hidden beast` number, since 4 + 611 + 3 + 8 + 28 + 0 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461138280091) and next prime (461138280149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1473285084 + ... + 1473285396.

It is an arithmetic number, because the mean of its divisors is an integer number (1852443000).

Almost surely, 2^461138280120 is an apocalyptic number.

461138280120 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 461138280120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948450816000).

461138280120 is an abundant number, since it is smaller than the sum of its proper divisors (1435763351880).

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

461138280120 is a wasteful number, since it uses less digits than its factorization.

461138280120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 461138280120 in words is "four hundred sixty-one billion, one hundred thirty-eight million, two hundred eighty thousand, one hundred twenty".