1856424200400 has 720 divisors, whose sum is σ = 8308968370560. Its totient is φ = 372447129600.

The previous prime is 1856424200399. The next prime is 1856424200419. The reversal of 1856424200400 is 40024246581.

1856424200400 is a `hidden beast` number, since 1 + 8 + 5 + 6 + 4 + 242 + 0 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 7923334 + ... + 8154266.

It is an arithmetic number, because the mean of its divisors is an integer number (11540233848).

Almost surely, 2^{1856424200400} is an apocalyptic number.

1856424200400 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 1856424200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154484185280).

1856424200400 is an abundant number, since it is smaller than the sum of its proper divisors (6452544170160).

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

1856424200400 is a wasteful number, since it uses less digits than its factorization.

1856424200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231004 (or 230990 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 1856424200400 its reverse (40024246581), we get a palindrome (1896448446981).

The spelling of 1856424200400 in words is "one trillion, eight hundred fifty-six billion, four hundred twenty-four million, two hundred thousand, four hundred".