16431180480 has 1260 divisors, whose sum is σ = 71811343296. Its totient is φ = 3558297600.

The previous prime is 16431180443. The next prime is 16431180481. The reversal of 16431180480 is 8408113461.

It is a happy number.

16431180480 is a `hidden beast` number, since 1 + 6 + 431 + 180 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16431180481) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 530038065 + ... + 530038095.

Almost surely, 2^16431180480 is an apocalyptic number.

16431180480 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 16431180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35905671648).

16431180480 is an abundant number, since it is smaller than the sum of its proper divisors (55380162816).

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

16431180480 is a wasteful number, since it uses less digits than its factorization.

16431180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

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

The spelling of 16431180480 in words is "sixteen billion, four hundred thirty-one million, one hundred eighty thousand, four hundred eighty".