19218142772640 has 864 divisors, whose sum is σ = 82895025507840. Its totient is φ = 4027271270400.

The previous prime is 19218142772627. The next prime is 19218142772669. The reversal of 19218142772640 is 4627724181291.

It is a happy number.

19218142772640 is a `hidden beast` number, since 1 + 92 + 1 + 8 + 1 + 427 + 72 + 64 + 0 = 666.

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, 41328630 + ... + 41791050.

It is an arithmetic number, because the mean of its divisors is an integer number (95943316560).

Almost surely, 2^{19218142772640} is an apocalyptic number.

19218142772640 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 19218142772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41447512753920).

19218142772640 is an abundant number, since it is smaller than the sum of its proper divisors (63676882735200).

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

19218142772640 is a wasteful number, since it uses less digits than its factorization.

19218142772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462506 (or 462488 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 19218142772640 in words is "nineteen trillion, two hundred eighteen billion, one hundred forty-two million, seven hundred seventy-two thousand, six hundred forty".