19140123840 has 224 divisors, whose sum is σ = 61496838144. Its totient is φ = 5043425280.

The previous prime is 19140123823. The next prime is 19140123853. The reversal of 19140123840 is 4832104191.

It is a happy number.

It is a super-2 number, since 2×19140123840² (a number of 21 digits) contains 22 as substring.

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, 44408425 + ... + 44408855.

It is an arithmetic number, because the mean of its divisors is an integer number (274539456).

Almost surely, 2^19140123840 is an apocalyptic number.

19140123840 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 19140123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30748419072).

19140123840 is an abundant number, since it is smaller than the sum of its proper divisors (42356714304).

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

19140123840 is a wasteful number, since it uses less digits than its factorization.

19140123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 19140123840 in words is "nineteen billion, one hundred forty million, one hundred twenty-three thousand, eight hundred forty".