452251533141400 has 384 divisors, whose sum is σ = 1129791095884800. Its totient is φ = 167856956467200.

The previous prime is 452251533141371. The next prime is 452251533141451. The reversal of 452251533141400 is 4141335152254.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75287417197 + ... + 75287423203.

It is an arithmetic number, because the mean of its divisors is an integer number (2942164312200).

Almost surely, 2^{452251533141400} is an apocalyptic number.

452251533141400 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 452251533141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564895547942400).

452251533141400 is an abundant number, since it is smaller than the sum of its proper divisors (677539562743400).

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

452251533141400 is a wasteful number, since it uses less digits than its factorization.

452251533141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 452251533141400 its reverse (4141335152254), we get a palindrome (456392868293654).

The spelling of 452251533141400 in words is "four hundred fifty-two trillion, two hundred fifty-one billion, five hundred thirty-three million, one hundred forty-one thousand, four hundred".