19009130400 has 432 divisors, whose sum is σ = 73881583776. Its totient is φ = 4569384960.

The previous prime is 19009130383. The next prime is 19009130419. The reversal of 19009130400 is 403190091.

It is a super-2 number, since 2×19009130400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4022439 + ... + 4027161.

Almost surely, 2^19009130400 is an apocalyptic number.

19009130400 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 19009130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36940791888).

19009130400 is an abundant number, since it is smaller than the sum of its proper divisors (54872453376).

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

19009130400 is a wasteful number, since it uses less digits than its factorization.

19009130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 19009130400 in words is "nineteen billion, nine million, one hundred thirty thousand, four hundred".