2856032400400 has 45 divisors (see below), whose sum is σ = 6861699046461. Its totient is φ = 1142399440320.

The previous prime is 2856032400379. The next prime is 2856032400401. The reversal of 2856032400400 is 40042306582.

The square root of 2856032400400 is 1689980.

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

It can be written as a sum of positive squares in only one way, i.e., 1028171664144 + 1827860736256 = 1013988^2 + 1351984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2856032400401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33757351 + ... + 33841849.

Almost surely, 2^{2856032400400} is an apocalyptic number.

2856032400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2856032400400 is the 1689980-th square number.

It is an amenable number.

2856032400400 is an abundant number, since it is smaller than the sum of its proper divisors (4005666646061).

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

2856032400400 is an frugal number, since it uses more digits than its factorization.

2856032400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169016 (or 84506 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 2856032400400 its reverse (40042306582), we get a palindrome (2896074706982).

The spelling of 2856032400400 in words is "two trillion, eight hundred fifty-six billion, thirty-two million, four hundred thousand, four hundred".