452766193440 has 384 divisors, whose sum is σ = 1632228433920. Its totient is φ = 104481484800.

The previous prime is 452766193427. The next prime is 452766193463. The reversal of 452766193440 is 44391667254.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10850697 + ... + 10892343.

It is an arithmetic number, because the mean of its divisors is an integer number (4250594880).

Almost surely, 2^452766193440 is an apocalyptic number.

452766193440 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 452766193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816114216960).

452766193440 is an abundant number, since it is smaller than the sum of its proper divisors (1179462240480).

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

452766193440 is a wasteful number, since it uses less digits than its factorization.

452766193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41776 (or 41768 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 452766193440 in words is "four hundred fifty-two billion, seven hundred sixty-six million, one hundred ninety-three thousand, four hundred forty".