442361001274620 has 192 divisors, whose sum is σ = 1308506734402560. Its totient is φ = 111441918246912.

The previous prime is 442361001274609. The next prime is 442361001274691. The reversal of 442361001274620 is 26472100163244.

It is a happy number.

It is a super-2 number, since 2×442361001274620² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31046842 + ... + 42995678.

It is an arithmetic number, because the mean of its divisors is an integer number (6815139241680).

Almost surely, 2^{442361001274620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442361001274620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654253367201280).

442361001274620 is an abundant number, since it is smaller than the sum of its proper divisors (866145733127940).

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

442361001274620 is a wasteful number, since it uses less digits than its factorization.

442361001274620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949204 (or 11949202 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 442361001274620 in words is "four hundred forty-two trillion, three hundred sixty-one billion, one million, two hundred seventy-four thousand, six hundred twenty".