442793615040 has 560 divisors, whose sum is σ = 1803692404800. Its totient is φ = 101008539648.

The previous prime is 442793615039. The next prime is 442793615041. The reversal of 442793615040 is 40516397244.

442793615040 is a `hidden beast` number, since 4 + 4 + 27 + 9 + 3 + 615 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442793615039) and next prime (442793615041).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (442793615041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103237216 + ... + 103241504.

Almost surely, 2^442793615040 is an apocalyptic number.

442793615040 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 442793615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901846202400).

442793615040 is an abundant number, since it is smaller than the sum of its proper divisors (1360898789760).

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

442793615040 is a wasteful number, since it uses less digits than its factorization.

442793615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 442793615040 in words is "four hundred forty-two billion, seven hundred ninety-three million, six hundred fifteen thousand, forty".