19909142240 has 192 divisors, whose sum is σ = 53079691392. Its totient is φ = 7001702400.

The previous prime is 19909142129. The next prime is 19909142249. The reversal of 19909142240 is 4224190991.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19909142249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13442300 + ... + 13443780.

It is an arithmetic number, because the mean of its divisors is an integer number (276456726).

Almost surely, 2^19909142240 is an apocalyptic number.

19909142240 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 19909142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539845696).

19909142240 is an abundant number, since it is smaller than the sum of its proper divisors (33170549152).

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

19909142240 is a wasteful number, since it uses less digits than its factorization.

19909142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 19909142240 in words is "nineteen billion, nine hundred nine million, one hundred forty-two thousand, two hundred forty".