42896692800 has 1344 divisors, whose sum is σ = 182233336320. Its totient is φ = 9853747200.

The previous prime is 42896692793. The next prime is 42896692819. The reversal of 42896692800 is 829669824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1046260780 + ... + 1046260820.

It is an arithmetic number, because the mean of its divisors is an integer number (135590280).

Almost surely, 2^42896692800 is an apocalyptic number.

42896692800 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 42896692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91116668160).

42896692800 is an abundant number, since it is smaller than the sum of its proper divisors (139336643520).

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

42896692800 is a wasteful number, since it uses less digits than its factorization.

42896692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42896692800 in words is "forty-two billion, eight hundred ninety-six million, six hundred ninety-two thousand, eight hundred".