453311241666400 has 144 divisors (see below), whose sum is σ = 1192607887991184. Its totient is φ = 167259160442880.

The previous prime is 453311241666397. The next prime is 453311241666461. The reversal of 453311241666400 is 4666142113354.

It is a super-2 number, since 2×453311241666400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 431667 + ... + 30113266.

It is an arithmetic number, because the mean of its divisors is an integer number (8281999222161).

Almost surely, 2^{453311241666400} is an apocalyptic number.

453311241666400 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 453311241666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596303943995592).

453311241666400 is an abundant number, since it is smaller than the sum of its proper divisors (739296646324784).

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

453311241666400 is a wasteful number, since it uses less digits than its factorization.

453311241666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30546393 (or 30546380 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

Adding to 453311241666400 its reverse (4666142113354), we get a palindrome (457977383779754).

The spelling of 453311241666400 in words is "four hundred fifty-three trillion, three hundred eleven billion, two hundred forty-one million, six hundred sixty-six thousand, four hundred".