4456321000000 has 147 divisors (see below), whose sum is σ = 11058862175221. Its totient is φ = 1781684000000.

The previous prime is 4456320999973. The next prime is 4456321000031. The reversal of 4456321000000 is 1236544.

The square root of 4456321000000 is 2111000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 3904165002816 + 552155997184 = 1975896^2 + 743072^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2110998945 + ... + 2111001055.

Almost surely, 2^{4456321000000} is an apocalyptic number.

4456321000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4456321000000 is the 2111000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456321000000

4456321000000 is an abundant number, since it is smaller than the sum of its proper divisors (6602541175221).

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

4456321000000 is an frugal number, since it uses more digits than its factorization.

4456321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 4456321000000 by its sum of digits (25), we get a square (111408025000000 = 10555000²).

4456321000000 divided by its sum of digits (25) gives a square (178252840000 = 422200²).

Adding to 4456321000000 its reverse (1236544), we get a palindrome (4456322236544).

The spelling of 4456321000000 in words is "four trillion, four hundred fifty-six billion, three hundred twenty-one million", and thus it is an aban number.