442202034032040 has 128 divisors (see below), whose sum is σ = 1334042942630400. Its totient is φ = 117259515244800.

The previous prime is 442202034031969. The next prime is 442202034032051. The reversal of 442202034032040 is 40230430202244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442202034031989 and 442202034032007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324096519 + ... + 1324430441.

It is an arithmetic number, because the mean of its divisors is an integer number (10422210489300).

Almost surely, 2^{442202034032040} is an apocalyptic number.

442202034032040 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 442202034032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667021471315200).

442202034032040 is an abundant number, since it is smaller than the sum of its proper divisors (891840908598360).

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

442202034032040 is a wasteful number, since it uses less digits than its factorization.

442202034032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395767 (or 395763 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 442202034032040 its reverse (40230430202244), we get a palindrome (482432464234284).

The spelling of 442202034032040 in words is "four hundred forty-two trillion, two hundred two billion, thirty-four million, thirty-two thousand, forty".