19916418240 has 224 divisors, whose sum is σ = 71152512000. Its totient is φ = 5243636736.

The previous prime is 19916418239. The next prime is 19916418253. The reversal of 19916418240 is 4281461991.

It is a happy number.

19916418240 is a `hidden beast` number, since 199 + 1 + 6 + 418 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667971 + ... + 697149.

Almost surely, 2^19916418240 is an apocalyptic number.

19916418240 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 19916418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35576256000).

19916418240 is an abundant number, since it is smaller than the sum of its proper divisors (51236093760).

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

19916418240 is a wasteful number, since it uses less digits than its factorization.

19916418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29284 (or 29268 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19916418240 in words is "nineteen billion, nine hundred sixteen million, four hundred eighteen thousand, two hundred forty".