442151501253540 has 384 divisors, whose sum is σ = 1413608842985472. Its totient is φ = 102469068195840.

The previous prime is 442151501253521. The next prime is 442151501253601. The reversal of 442151501253540 is 45352105151244.

It is a junction number, because it is equal to n+sod(n) for n = 442151501253492 and 442151501253501.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11400632989 + ... + 11400671771.

It is an arithmetic number, because the mean of its divisors is an integer number (3681273028608).

Almost surely, 2^{442151501253540} 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 442151501253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706804421492736).

442151501253540 is an abundant number, since it is smaller than the sum of its proper divisors (971457341731932).

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

442151501253540 is a wasteful number, since it uses less digits than its factorization.

442151501253540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51619 (or 51617 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 442151501253540 in words is "four hundred forty-two trillion, one hundred fifty-one billion, five hundred one million, two hundred fifty-three thousand, five hundred forty".