442432419840 has 480 divisors, whose sum is σ = 1607758392240. Its totient is φ = 116349861888.

The previous prime is 442432419823. The next prime is 442432419857. The reversal of 442432419840 is 48914234244.

442432419840 is a `hidden beast` number, since 4 + 424 + 32 + 4 + 198 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442432419823) and next prime (442432419857).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×442432419840² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60545467 + ... + 60552773.

Almost surely, 2^442432419840 is an apocalyptic number.

442432419840 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 442432419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803879196120).

442432419840 is an abundant number, since it is smaller than the sum of its proper divisors (1165325972400).

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

442432419840 is an equidigital number, since it uses as much as digits as its factorization.

442432419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 442432419840 in words is "four hundred forty-two billion, four hundred thirty-two million, four hundred nineteen thousand, eight hundred forty".