19040531328 has 864 divisors, whose sum is σ = 73551867480. Its totient is φ = 4859688960.

The previous prime is 19040531311. The next prime is 19040531401. The reversal of 19040531328 is 82313504091.

19040531328 is a `hidden beast` number, since 1 + 90 + 4 + 0 + 531 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 19040531292 and 19040531301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 614210673 + ... + 614210703.

Almost surely, 2^19040531328 is an apocalyptic number.

19040531328 is a gapful number since it is divisible by the number (18) 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 19040531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36775933740).

19040531328 is an abundant number, since it is smaller than the sum of its proper divisors (54511336152).

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

19040531328 is an equidigital number, since it uses as much as digits as its factorization.

19040531328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19040531328 in words is "nineteen billion, forty million, five hundred thirty-one thousand, three hundred twenty-eight".