19004711040 has 384 divisors, whose sum is σ = 76240120320. Its totient is φ = 4272168960.

The previous prime is 19004711029. The next prime is 19004711051. The reversal of 19004711040 is 4011740091.

19004711040 is a `hidden beast` number, since 1 + 90 + 0 + 471 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19004711029) and next prime (19004711051).

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

It is a super-2 number, since 2×19004711040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19004710995 and 19004711013.

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, 2455657 + ... + 2463383.

It is an arithmetic number, because the mean of its divisors is an integer number (198541980).

Almost surely, 2^19004711040 is an apocalyptic number.

19004711040 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 19004711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38120060160).

19004711040 is an abundant number, since it is smaller than the sum of its proper divisors (57235409280).

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

19004711040 is a wasteful number, since it uses less digits than its factorization.

19004711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7820 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 19004711040 in words is "nineteen billion, four million, seven hundred eleven thousand, forty".