19946712240 has 1280 divisors, whose sum is σ = 91660800000. Its totient is φ = 3950456832.

The previous prime is 19946712193. The next prime is 19946712277. The reversal of 19946712240 is 4221764991.

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 255 ways as a sum of consecutive naturals, for example, 182997306 + ... + 182997414.

It is an arithmetic number, because the mean of its divisors is an integer number (71610000).

Almost surely, 2^19946712240 is an apocalyptic number.

19946712240 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 19946712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400000).

19946712240 is an abundant number, since it is smaller than the sum of its proper divisors (71714087760).

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

19946712240 is a wasteful number, since it uses less digits than its factorization.

19946712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19946712240 in words is "nineteen billion, nine hundred forty-six million, seven hundred twelve thousand, two hundred forty".