461403159840 has 384 divisors, whose sum is σ = 1853699904000. Its totient is φ = 105001463808.

The previous prime is 461403159839. The next prime is 461403159859. The reversal of 461403159840 is 48951304164.

461403159840 is a `hidden beast` number, since 4 + 6 + 14 + 0 + 3 + 1 + 598 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6891646 + ... + 6958274.

It is an arithmetic number, because the mean of its divisors is an integer number (4827343500).

Almost surely, 2^461403159840 is an apocalyptic number.

461403159840 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 461403159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926849952000).

461403159840 is an abundant number, since it is smaller than the sum of its proper divisors (1392296744160).

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

461403159840 is a wasteful number, since it uses less digits than its factorization.

461403159840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66889 (or 66875 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 461403159840 in words is "four hundred sixty-one billion, four hundred three million, one hundred fifty-nine thousand, eight hundred forty".