442129272540480 has 896 divisors, whose sum is σ = 1848307761807360. Its totient is φ = 97359531171840.

The previous prime is 442129272540469. The next prime is 442129272540497. The reversal of 442129272540480 is 84045272921244.

442129272540480 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 2 + 92 + 7 + 2 + 540 + 4 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 417569502 + ... + 418626978.

It is an arithmetic number, because the mean of its divisors is an integer number (2062843484160).

Almost surely, 2^{442129272540480} is an apocalyptic number.

442129272540480 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 442129272540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924153880903680).

442129272540480 is an abundant number, since it is smaller than the sum of its proper divisors (1406178489266880).

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

442129272540480 is a wasteful number, since it uses less digits than its factorization.

442129272540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057764 (or 1057748 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 442129272540480 in words is "four hundred forty-two trillion, one hundred twenty-nine billion, two hundred seventy-two million, five hundred forty thousand, four hundred eighty".