16460815140 has 288 divisors, whose sum is σ = 64558900224. Its totient is φ = 3420351360.

The previous prime is 16460815139. The next prime is 16460815141. The reversal of 16460815140 is 4151806461.

16460815140 is a `hidden beast` number, since 1 + 6 + 4 + 60 + 81 + 514 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16460815139) and next prime (16460815141).

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

It is a junction number, because it is equal to n+sod(n) for n = 16460815095 and 16460815104.

It is not an unprimeable number, because it can be changed into a prime (16460815141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352227 + ... + 396213.

It is an arithmetic number, because the mean of its divisors is an integer number (224162848).

Almost surely, 2^16460815140 is an apocalyptic number.

16460815140 is a gapful number since it is divisible by the number (10) 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 16460815140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32279450112).

16460815140 is an abundant number, since it is smaller than the sum of its proper divisors (48098085084).

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

16460815140 is a wasteful number, since it uses less digits than its factorization.

16460815140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44029 (or 44015 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16460815140 in words is "sixteen billion, four hundred sixty million, eight hundred fifteen thousand, one hundred forty".