8019204512400 has 405 divisors, whose sum is σ = 28151534969649. Its totient is φ = 2113942302720.

The previous prime is 8019204512383. The next prime is 8019204512453. The reversal of 8019204512400 is 42154029108.

The square root of 8019204512400 is 2831820.

It is a perfect power (a square), and thus also a powerful number.

8019204512400 is a `hidden beast` number, since 80 + 1 + 9 + 20 + 4 + 512 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6791256848016 + 1227947664384 = 2606004^2 + 1108128^2 .

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 80 ways as a sum of consecutive naturals, for example, 18520102584 + ... + 18520103016.

Almost surely, 2^{8019204512400} is an apocalyptic number.

8019204512400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8019204512400 is the 2831820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8019204512400

8019204512400 is an abundant number, since it is smaller than the sum of its proper divisors (20132330457249).

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

8019204512400 is a wasteful number, since it uses less digits than its factorization.

8019204512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 8019204512400 by its sum of digits (36), we get a square (288691362446400 = 16990920²).

8019204512400 divided by its sum of digits (36) gives a square (222755680900 = 471970²).

The spelling of 8019204512400 in words is "eight trillion, nineteen billion, two hundred four million, five hundred twelve thousand, four hundred".