42995963360 has 288 divisors, whose sum is σ = 128407265280. Its totient is φ = 13513651200.

The previous prime is 42995963333. The next prime is 42995963393. The reversal of 42995963360 is 6336959924.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 42995963296 and 42995963305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4613105 + ... + 4622415.

It is an arithmetic number, because the mean of its divisors is an integer number (445858560).

Almost surely, 2^42995963360 is an apocalyptic number.

42995963360 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 42995963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64203632640).

42995963360 is an abundant number, since it is smaller than the sum of its proper divisors (85411301920).

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

42995963360 is a wasteful number, since it uses less digits than its factorization.

42995963360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 56.

The spelling of 42995963360 in words is "forty-two billion, nine hundred ninety-five million, nine hundred sixty-three thousand, three hundred sixty".