4452801381000 has 384 divisors, whose sum is σ = 18212336213760. Its totient is φ = 957913344000.

The previous prime is 4452801380893. The next prime is 4452801381029. The reversal of 4452801381000 is 1831082544.

4452801381000 is a `hidden beast` number, since 44 + 528 + 0 + 13 + 81 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4452801381000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1007806 + ... + 3149805.

It is an arithmetic number, because the mean of its divisors is an integer number (47427958890).

Almost surely, 2^{4452801381000} is an apocalyptic number.

4452801381000 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 4452801381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106168106880).

4452801381000 is an abundant number, since it is smaller than the sum of its proper divisors (13759534832760).

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

4452801381000 is a wasteful number, since it uses less digits than its factorization.

4452801381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157662 (or 4157645 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 4452801381000 in words is "four trillion, four hundred fifty-two billion, eight hundred one million, three hundred eighty-one thousand".