16731253440 has 336 divisors, whose sum is σ = 63102963456. Its totient is φ = 4035225600.

The previous prime is 16731253439. The next prime is 16731253481. The reversal of 16731253440 is 4435213761.

16731253440 is a `hidden beast` number, since 1 + 6 + 73 + 12 + 534 + 40 = 666.

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 = 16731253395 and 16731253404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6683229 + ... + 6685731.

Almost surely, 2^16731253440 is an apocalyptic number.

16731253440 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 16731253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551481728).

16731253440 is an abundant number, since it is smaller than the sum of its proper divisors (46371710016).

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

16731253440 is a wasteful number, since it uses less digits than its factorization.

16731253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 16731253440 in words is "sixteen billion, seven hundred thirty-one million, two hundred fifty-three thousand, four hundred forty".