442059557940 has 2304 divisors, whose sum is σ = 2044808478720. Its totient is φ = 76366540800.

The previous prime is 442059557887. The next prime is 442059558001. The reversal of 442059557940 is 49755950244.

It is a happy number.

442059557940 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 595 + 5 + 7 + 9 + 40 = 666.

It is a super-2 number, since 2×442059557940² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11947555602 + ... + 11947555638.

It is an arithmetic number, because the mean of its divisors is an integer number (887503680).

Almost surely, 2^442059557940 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 442059557940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022404239360).

442059557940 is an abundant number, since it is smaller than the sum of its proper divisors (1602748920780).

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

442059557940 is a wasteful number, since it uses less digits than its factorization.

442059557940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

It can be divided in two parts, 442059 and 557940, that added together give a palindrome (999999).

The spelling of 442059557940 in words is "four hundred forty-two billion, fifty-nine million, five hundred fifty-seven thousand, nine hundred forty".