17216411940 has 432 divisors, whose sum is σ = 65092180608. Its totient is φ = 3606460416.

The previous prime is 17216411911. The next prime is 17216411977. The reversal of 17216411940 is 4911461271.

17216411940 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 641 + 1 + 9 + 4 + 0 = 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 = 17216411895 and 17216411904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49614847 + ... + 49615193.

It is an arithmetic number, because the mean of its divisors is an integer number (150676344).

Almost surely, 2^17216411940 is an apocalyptic number.

17216411940 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 17216411940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32546090304).

17216411940 is an abundant number, since it is smaller than the sum of its proper divisors (47875768668).

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

17216411940 is a wasteful number, since it uses less digits than its factorization.

17216411940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 17216411940 in words is "seventeen billion, two hundred sixteen million, four hundred eleven thousand, nine hundred forty".