442201124451240 has 1024 divisors, whose sum is σ = 1850092545024000. Its totient is φ = 91268280852480.

The previous prime is 442201124451187. The next prime is 442201124451277. The reversal of 442201124451240 is 42154421102244.

442201124451240 is a `hidden beast` number, since 4 + 4 + 2 + 20 + 112 + 4 + 4 + 512 + 4 + 0 = 666.

It is a super-2 number, since 2×442201124451240² (a number of 30 digits) contains 22 as substring.

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 = 442201124451195 and 442201124451204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15782173951 + ... + 15782201969.

It is an arithmetic number, because the mean of its divisors is an integer number (1806731001000).

Almost surely, 2^{442201124451240} is an apocalyptic number.

442201124451240 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 442201124451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925046272512000).

442201124451240 is an abundant number, since it is smaller than the sum of its proper divisors (1407891420572760).

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

442201124451240 is a wasteful number, since it uses less digits than its factorization.

442201124451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29327 (or 29317 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 442201124451240 its reverse (42154421102244), we get a palindrome (484355545553484).

The spelling of 442201124451240 in words is "four hundred forty-two trillion, two hundred one billion, one hundred twenty-four million, four hundred fifty-one thousand, two hundred forty".