16996501440 has 336 divisors, whose sum is σ = 60862464000. Its totient is φ = 4348753920.

The previous prime is 16996501439. The next prime is 16996501513. The reversal of 16996501440 is 4410569961.

It is a happy number.

16996501440 is a `hidden beast` number, since 16 + 9 + 96 + 501 + 4 + 40 = 666.

It is a super-2 number, since 2×16996501440² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 11337811 + ... + 11339309.

Almost surely, 2^16996501440 is an apocalyptic number.

16996501440 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 16996501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431232000).

16996501440 is an abundant number, since it is smaller than the sum of its proper divisors (43865962560).

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

16996501440 is a wasteful number, since it uses less digits than its factorization.

16996501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 1699650 and 1440, that added together give a triangular number (1701090 = T₁₈₄₄).

The spelling of 16996501440 in words is "sixteen billion, nine hundred ninety-six million, five hundred one thousand, four hundred forty".