442313130214440 has 128 divisors (see below), whose sum is σ = 1474394734108800. Its totient is φ = 117948757386240.

The previous prime is 442313130214243. The next prime is 442313130214469. The reversal of 442313130214440 is 44412031313244.

442313130214440 is a `hidden beast` number, since 4 + 42 + 3 + 131 + 30 + 2 + 14 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 442313130214395 and 442313130214404.

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, 89491744 + ... + 94304816.

It is an arithmetic number, because the mean of its divisors is an integer number (11518708860225).

Almost surely, 2^{442313130214440} is an apocalyptic number.

442313130214440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442313130214440 is an abundant number, since it is smaller than the sum of its proper divisors (1032081603894360).

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

442313130214440 is a wasteful number, since it uses less digits than its factorization.

442313130214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898184 (or 4898174 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 442313130214440 its reverse (44412031313244), we get a palindrome (486725161527684).

The spelling of 442313130214440 in words is "four hundred forty-two trillion, three hundred thirteen billion, one hundred thirty million, two hundred fourteen thousand, four hundred forty".