442051005213504 has 112 divisors (see below), whose sum is σ = 1299553251373440. Its totient is φ = 147349750302720.

The previous prime is 442051005213463. The next prime is 442051005213511. The reversal of 442051005213504 is 405312500150244.

442051005213504 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 510 + 0 + 5 + 2 + 135 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802486077 + ... + 803036739.

It is an arithmetic number, because the mean of its divisors is an integer number (11603154030120).

Almost surely, 2^{442051005213504} is an apocalyptic number.

It is an amenable number.

442051005213504 is an abundant number, since it is smaller than the sum of its proper divisors (857502246159936).

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

442051005213504 is a wasteful number, since it uses less digits than its factorization.

442051005213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015245 (or 1015229 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 442051005213504 its reverse (405312500150244), we get a palindrome (847363505363748).

The spelling of 442051005213504 in words is "four hundred forty-two trillion, fifty-one billion, five million, two hundred thirteen thousand, five hundred four".