1842206198400 has 480 divisors, whose sum is σ = 7017471626880. Its totient is φ = 475405977600.

The previous prime is 1842206198383. The next prime is 1842206198407. The reversal of 1842206198400 is 48916022481.

1842206198400 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 20 + 619 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1842206198407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7920567 + ... + 8149833.

It is an arithmetic number, because the mean of its divisors is an integer number (14619732556).

Almost surely, 2^{1842206198400} is an apocalyptic number.

1842206198400 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 1842206198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508735813440).

1842206198400 is an abundant number, since it is smaller than the sum of its proper divisors (5175265428480).

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

1842206198400 is a wasteful number, since it uses less digits than its factorization.

1842206198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229334 (or 229308 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1842206198400 in words is "one trillion, eight hundred forty-two billion, two hundred six million, one hundred ninety-eight thousand, four hundred".