19004135040 has 384 divisors, whose sum is σ = 71896144320. Its totient is φ = 4587356160.

The previous prime is 19004135011. The next prime is 19004135063. The reversal of 19004135040 is 4053140091.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×19004135040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19004134995 and 19004135013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19451032 + ... + 19452008.

Almost surely, 2^19004135040 is an apocalyptic number.

19004135040 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 19004135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35948072160).

19004135040 is an abundant number, since it is smaller than the sum of its proper divisors (52892009280).

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

19004135040 is a wasteful number, since it uses less digits than its factorization.

19004135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 19004135040 in words is "nineteen billion, four million, one hundred thirty-five thousand, forty".