19019041920 has 512 divisors, whose sum is σ = 69991257600. Its totient is φ = 4877107200.

The previous prime is 19019041903. The next prime is 19019041927. The reversal of 19019041920 is 2914091091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19019041927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96543262 + ... + 96543458.

It is an arithmetic number, because the mean of its divisors is an integer number (136701675).

Almost surely, 2^19019041920 is an apocalyptic number.

19019041920 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 19019041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34995628800).

19019041920 is an abundant number, since it is smaller than the sum of its proper divisors (50972215680).

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

19019041920 is a wasteful number, since it uses less digits than its factorization.

19019041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 19019041920 in words is "nineteen billion, nineteen million, forty-one thousand, nine hundred twenty".