442974608640 has 864 divisors, whose sum is σ = 1684518335136. Its totient is φ = 107017666560.

The previous prime is 442974608621. The next prime is 442974608693. The reversal of 442974608640 is 46806479244.

442974608640 is a `hidden beast` number, since 4 + 4 + 29 + 7 + 4 + 608 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 89511065856 + 353463542784 = 299184^2 + 594528^2 .

It is a super-2 number, since 2×442974608640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818806770 + ... + 818807310.

It is an arithmetic number, because the mean of its divisors is an integer number (1949673999).

Almost surely, 2^442974608640 is an apocalyptic number.

442974608640 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 442974608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842259167568).

442974608640 is an abundant number, since it is smaller than the sum of its proper divisors (1241543726496).

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

442974608640 is a wasteful number, since it uses less digits than its factorization.

442974608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 442974608640 in words is "four hundred forty-two billion, nine hundred seventy-four million, six hundred eight thousand, six hundred forty".