442345624514640 has 320 divisors, whose sum is σ = 1899596795166720. Its totient is φ = 91915973890560.

The previous prime is 442345624514639. The next prime is 442345624514641. The reversal of 442345624514640 is 46415426543244.

It is a happy number.

442345624514640 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 4 + 5 + 62 + 4 + 514 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442345624514639) and next prime (442345624514641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442345624514641) 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, 1329636544 + ... + 1329969183.

It is an arithmetic number, because the mean of its divisors is an integer number (5936239984896).

Almost surely, 2^{442345624514640} is an apocalyptic number.

442345624514640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442345624514640 is an abundant number, since it is smaller than the sum of its proper divisors (1457251170652080).

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

442345624514640 is a wasteful number, since it uses less digits than its factorization.

442345624514640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659605767 (or 2659605755 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 54.

The spelling of 442345624514640 in words is "four hundred forty-two trillion, three hundred forty-five billion, six hundred twenty-four million, five hundred fourteen thousand, six hundred forty".