442371242142720 has 2816 divisors, whose sum is σ = 1898890739712000. Its totient is φ = 96454449561600.

The previous prime is 442371242142719. The next prime is 442371242142733. The reversal of 442371242142720 is 27241242173244.

It is a happy number.

442371242142720 is a `hidden beast` number, since 4 + 4 + 2 + 371 + 2 + 4 + 2 + 1 + 4 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×442371242142720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47469814221 + ... + 47469823539.

Almost surely, 2^{442371242142720} is an apocalyptic number.

442371242142720 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 442371242142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949445369856000).

442371242142720 is an abundant number, since it is smaller than the sum of its proper divisors (1456519497569280).

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

442371242142720 is a wasteful number, since it uses less digits than its factorization.

442371242142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 442371242142720 in words is "four hundred forty-two trillion, three hundred seventy-one billion, two hundred forty-two million, one hundred forty-two thousand, seven hundred twenty".