42268263800 has 144 divisors (see below), whose sum is σ = 117410349840. Its totient is φ = 13861647360.

The previous prime is 42268263799. The next prime is 42268263841. The reversal of 42268263800 is 836286224.

42268263800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42268263800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 712064 + ... + 769136.

Almost surely, 2^42268263800 is an apocalyptic number.

42268263800 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 42268263800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705174920).

42268263800 is an abundant number, since it is smaller than the sum of its proper divisors (75142086040).

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

42268263800 is a wasteful number, since it uses less digits than its factorization.

42268263800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57142 (or 57110 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 42268263800 in words is "forty-two billion, two hundred sixty-eight million, two hundred sixty-three thousand, eight hundred".