1856400800004 has 81 divisors (see below), whose sum is σ = 4805145981909. Its totient is φ = 604295112960.

The previous prime is 1856400799909. The next prime is 1856400800077. The reversal of 1856400800004 is 4000080046581.

The square root of 1856400800004 is 1362498.

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

1856400800004 is a `hidden beast` number, since 1 + 8 + 5 + 640 + 0 + 8 + 0 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245125990404 + 1611274809600 = 495102^2 + 1269360^2 .

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 26 ways as a sum of consecutive naturals, for example, 351521844 + ... + 351527124.

Almost surely, 2^{1856400800004} is an apocalyptic number.

1856400800004 is the 1362498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1856400800004

1856400800004 is an abundant number, since it is smaller than the sum of its proper divisors (2948745181905).

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

1856400800004 is an frugal number, since it uses more digits than its factorization.

1856400800004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 1856400800004 by its sum of digits (36), we get a square (66830428800144 = 8174988²).

1856400800004 divided by its sum of digits (36) gives a square (51566688889 = 227083²).

Adding to 1856400800004 its reverse (4000080046581), we get a palindrome (5856480846585).

The spelling of 1856400800004 in words is "one trillion, eight hundred fifty-six billion, four hundred million, eight hundred thousand, four".