455140522400 has 144 divisors (see below), whose sum is σ = 1146056819544. Its totient is φ = 176372858880.

The previous prime is 455140522393. The next prime is 455140522411. The reversal of 455140522400 is 4225041554.

It can be written as a sum of positive squares in 12 ways, for example, as 85481386384 + 369659136016 = 292372^2 + 607996^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6863804 + ... + 6929796.

Almost surely, 2^455140522400 is an apocalyptic number.

455140522400 is a gapful number since it is divisible by the number (40) 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 455140522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573028409772).

455140522400 is an abundant number, since it is smaller than the sum of its proper divisors (690916297144).

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

455140522400 is a wasteful number, since it uses less digits than its factorization.

455140522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66283 (or 66270 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 455140522400 its reverse (4225041554), we get a palindrome (459365563954).

The spelling of 455140522400 in words is "four hundred fifty-five billion, one hundred forty million, five hundred twenty-two thousand, four hundred".