461289039120 has 1920 divisors, whose sum is σ = 2162021621760. Its totient is φ = 85279703040.

The previous prime is 461289039091. The next prime is 461289039143. The reversal of 461289039120 is 21930982164.

461289039120 is a `hidden beast` number, since 4 + 612 + 8 + 9 + 0 + 3 + 9 + 1 + 20 = 666.

It is a super-2 number, since 2×461289039120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1502570007 + ... + 1502570313.

It is an arithmetic number, because the mean of its divisors is an integer number (1126052928).

Almost surely, 2^461289039120 is an apocalyptic number.

461289039120 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 461289039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081010810880).

461289039120 is an abundant number, since it is smaller than the sum of its proper divisors (1700732582640).

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

461289039120 is a wasteful number, since it uses less digits than its factorization.

461289039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 461289039120 in words is "four hundred sixty-one billion, two hundred eighty-nine million, thirty-nine thousand, one hundred twenty".