42988992000 has 640 divisors, whose sum is σ = 150998335488. Its totient is φ = 10838016000.

The previous prime is 42988991989. The next prime is 42988992037. The reversal of 42988992000 is 29988924.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338495937 + ... + 338496063.

Almost surely, 2^42988992000 is an apocalyptic number.

42988992000 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 42988992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75499167744).

42988992000 is an abundant number, since it is smaller than the sum of its proper divisors (108009343488).

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

42988992000 is a wasteful number, since it uses less digits than its factorization.

42988992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 42988992000 in words is "forty-two billion, nine hundred eighty-eight million, nine hundred ninety-two thousand".