16972033140 has 192 divisors, whose sum is σ = 54722304000. Its totient is φ = 4362439680.

The previous prime is 16972033129. The next prime is 16972033151. The reversal of 16972033140 is 4133027961.

It is an interprime number because it is at equal distance from previous prime (16972033129) and next prime (16972033151).

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 = 16972033095 and 16972033104.

It is a congruent number.

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, 4501176 + ... + 4504944.

It is an arithmetic number, because the mean of its divisors is an integer number (285012000).

Almost surely, 2^16972033140 is an apocalyptic number.

16972033140 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 16972033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361152000).

16972033140 is an abundant number, since it is smaller than the sum of its proper divisors (37750270860).

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

16972033140 is a wasteful number, since it uses less digits than its factorization.

16972033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 16972033140 in words is "sixteen billion, nine hundred seventy-two million, thirty-three thousand, one hundred forty".