42398952960 has 1280 divisors, whose sum is σ = 183028285440. Its totient is φ = 8121876480.

The previous prime is 42398952917. The next prime is 42398953007. The reversal of 42398952960 is 6925989324.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 42398952960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411640269 + ... + 411640371.

It is an arithmetic number, because the mean of its divisors is an integer number (142990848).

Almost surely, 2^42398952960 is an apocalyptic number.

42398952960 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 42398952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91514142720).

42398952960 is an abundant number, since it is smaller than the sum of its proper divisors (140629332480).

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

42398952960 is a wasteful number, since it uses less digits than its factorization.

42398952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 42398952960 in words is "forty-two billion, three hundred ninety-eight million, nine hundred fifty-two thousand, nine hundred sixty".