42210766800 has 90 divisors (see below), whose sum is σ = 146483098502. Its totient is φ = 11256203520.

The previous prime is 42210766783. The next prime is 42210766841. The reversal of 42210766800 is 866701224.

It can be written as a sum of positive squares in 3 ways, for example, as 13756474944 + 28454291856 = 117288^2 + 168684^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 5859007 + ... + 5866206.

Almost surely, 2^42210766800 is an apocalyptic number.

42210766800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42210766800 is an abundant number, since it is smaller than the sum of its proper divisors (104272331702).

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

42210766800 is a wasteful number, since it uses less digits than its factorization.

42210766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725237 (or 11725223 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42210766800 in words is "forty-two billion, two hundred ten million, seven hundred sixty-six thousand, eight hundred".