42988828896 has 384 divisors, whose sum is σ = 140180705280. Its totient is φ = 12727756800.

The previous prime is 42988828877. The next prime is 42988828951. The reversal of 42988828896 is 69882888924.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 115251366 + ... + 115251738.

It is an arithmetic number, because the mean of its divisors is an integer number (365053920).

Almost surely, 2^42988828896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42988828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70090352640).

42988828896 is an abundant number, since it is smaller than the sum of its proper divisors (97191876384).

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

42988828896 is a wasteful number, since it uses less digits than its factorization.

42988828896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 72.

The spelling of 42988828896 in words is "forty-two billion, nine hundred eighty-eight million, eight hundred twenty-eight thousand, eight hundred ninety-six".