452113441920 has 768 divisors, whose sum is σ = 1839065679360. Its totient is φ = 100196352000.

The previous prime is 452113441903. The next prime is 452113441931. The reversal of 452113441920 is 29144311254.

452113441920 is a `hidden beast` number, since 4 + 5 + 211 + 3 + 4 + 419 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 299213965 + ... + 299215475.

It is an arithmetic number, because the mean of its divisors is an integer number (2394616770).

Almost surely, 2^452113441920 is an apocalyptic number.

452113441920 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 452113441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919532839680).

452113441920 is an abundant number, since it is smaller than the sum of its proper divisors (1386952237440).

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

452113441920 is a wasteful number, since it uses less digits than its factorization.

452113441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 452113441920 in words is "four hundred fifty-two billion, one hundred thirteen million, four hundred forty-one thousand, nine hundred twenty".