442457720510740 has 192 divisors, whose sum is σ = 1039451747217408. Its totient is φ = 156824346099200.

The previous prime is 442457720510731. The next prime is 442457720510749. The reversal of 442457720510740 is 47015027754244.

It is an interprime number because it is at equal distance from previous prime (442457720510731) and next prime (442457720510749).

It is a super-2 number, since 2×442457720510740² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442457720510749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2945656479 + ... + 2945806681.

It is an arithmetic number, because the mean of its divisors is an integer number (5413811183424).

Almost surely, 2^{442457720510740} 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 442457720510740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519725873608704).

442457720510740 is an abundant number, since it is smaller than the sum of its proper divisors (596994026706668).

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

442457720510740 is a wasteful number, since it uses less digits than its factorization.

442457720510740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151438 (or 151436 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 52.

The spelling of 442457720510740 in words is "four hundred forty-two trillion, four hundred fifty-seven billion, seven hundred twenty million, five hundred ten thousand, seven hundred forty".