19042916400 has 240 divisors, whose sum is σ = 67881503520. Its totient is φ = 5070412800.

The previous prime is 19042916369. The next prime is 19042916449. The reversal of 19042916400 is 461924091.

It is a happy number.

19042916400 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 2 + 9 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 12754054 + ... + 12755546.

It is an arithmetic number, because the mean of its divisors is an integer number (282839598).

Almost surely, 2^19042916400 is an apocalyptic number.

19042916400 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 19042916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33940751760).

19042916400 is an abundant number, since it is smaller than the sum of its proper divisors (48838587120).

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

19042916400 is a wasteful number, since it uses less digits than its factorization.

19042916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19042916400 in words is "nineteen billion, forty-two million, nine hundred sixteen thousand, four hundred".