442261962954 has 576 divisors, whose sum is σ = 1269054259200. Its totient is φ = 115050196800.

The previous prime is 442261962949. The next prime is 442261962959. The reversal of 442261962954 is 459269162244.

It is a happy number.

442261962954 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 6 + 1 + 9 + 629 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (442261962949) and next prime (442261962959).

It is a super-2 number, since 2×442261962954² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442261962954.

It is not an unprimeable number, because it can be changed into a prime (442261962959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7250196084 + ... + 7250196144.

It is an arithmetic number, because the mean of its divisors is an integer number (2203219200).

Almost surely, 2^442261962954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442261962954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634527129600).

442261962954 is an abundant number, since it is smaller than the sum of its proper divisors (826792296246).

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

442261962954 is an equidigital number, since it uses as much as digits as its factorization.

442261962954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 127 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 442261962954 in words is "four hundred forty-two billion, two hundred sixty-one million, nine hundred sixty-two thousand, nine hundred fifty-four".