42703372800 has 960 divisors, whose sum is σ = 175360204800. Its totient is φ = 10089676800.

The previous prime is 42703372759. The next prime is 42703372843. The reversal of 42703372800 is 827330724.

42703372800 is a `hidden beast` number, since 42 + 7 + 0 + 337 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178675081 + ... + 178675319.

It is an arithmetic number, because the mean of its divisors is an integer number (182666880).

Almost surely, 2^42703372800 is an apocalyptic number.

42703372800 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 42703372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87680102400).

42703372800 is an abundant number, since it is smaller than the sum of its proper divisors (132656832000).

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

42703372800 is a wasteful number, since it uses less digits than its factorization.

42703372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42703372800 in words is "forty-two billion, seven hundred three million, three hundred seventy-two thousand, eight hundred".