8003209190400 has 2112 divisors, whose sum is σ = 32562761564160. Its totient is φ = 1917399859200.

The previous prime is 8003209190357. The next prime is 8003209190419. The reversal of 8003209190400 is 40919023008.

8003209190400 is a `hidden beast` number, since 80 + 0 + 3 + 2 + 0 + 91 + 90 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46261324714 + ... + 46261324886.

Almost surely, 2^{8003209190400} is an apocalyptic number.

8003209190400 is a gapful number since it is divisible by the number (80) 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 8003209190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281380782080).

8003209190400 is an abundant number, since it is smaller than the sum of its proper divisors (24559552373760).

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

8003209190400 is a wasteful number, since it uses less digits than its factorization.

8003209190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

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

The spelling of 8003209190400 in words is "eight trillion, three billion, two hundred nine million, one hundred ninety thousand, four hundred".