1821904358400 has 2376 divisors, whose sum is σ = 8110291949760. Its totient is φ = 403824476160.

The previous prime is 1821904358291. The next prime is 1821904358431. The reversal of 1821904358400 is 48534091281.

1821904358400 is a `hidden beast` number, since 1 + 8 + 2 + 190 + 4 + 3 + 58 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13107225531 + ... + 13107225669.

Almost surely, 2^{1821904358400} is an apocalyptic number.

1821904358400 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 1821904358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055145974880).

1821904358400 is an abundant number, since it is smaller than the sum of its proper divisors (6288387591360).

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

1821904358400 is a wasteful number, since it uses less digits than its factorization.

1821904358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1821904358400 in words is "one trillion, eight hundred twenty-one billion, nine hundred four million, three hundred fifty-eight thousand, four hundred".