42710976000 has 1600 divisors, whose sum is σ = 200207614464. Its totient is φ = 8792064000.

The previous prime is 42710975987. The next prime is 42710976017. The reversal of 42710976000 is 67901724.

It is a happy number.

42710976000 is a `hidden beast` number, since 42 + 7 + 1 + 0 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 399167947 + ... + 399168053.

Almost surely, 2^42710976000 is an apocalyptic number.

42710976000 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 42710976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100103807232).

42710976000 is an abundant number, since it is smaller than the sum of its proper divisors (157496638464).

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

42710976000 is a wasteful number, since it uses less digits than its factorization.

42710976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 42710976000 in words is "forty-two billion, seven hundred ten million, nine hundred seventy-six thousand".