19387441920 has 1728 divisors, whose sum is σ = 90596620800. Its totient is φ = 3468165120.

The previous prime is 19387441877. The next prime is 19387441963. The reversal of 19387441920 is 2914478391.

It is an interprime number because it is at equal distance from previous prime (19387441877) and next prime (19387441963).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19387441920.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 668532466 + ... + 668532494.

It is an arithmetic number, because the mean of its divisors is an integer number (52428600).

Almost surely, 2^19387441920 is an apocalyptic number.

19387441920 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 19387441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45298310400).

19387441920 is an abundant number, since it is smaller than the sum of its proper divisors (71209178880).

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

19387441920 is a wasteful number, since it uses less digits than its factorization.

19387441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 19387441920 in words is "nineteen billion, three hundred eighty-seven million, four hundred forty-one thousand, nine hundred twenty".