42388813800 has 576 divisors, whose sum is σ = 154162008000. Its totient is φ = 10406154240.

The previous prime is 42388813793. The next prime is 42388813813. The reversal of 42388813800 is 831888324.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 309407332 + ... + 309407468.

It is an arithmetic number, because the mean of its divisors is an integer number (267642375).

Almost surely, 2^42388813800 is an apocalyptic number.

42388813800 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 42388813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77081004000).

42388813800 is an abundant number, since it is smaller than the sum of its proper divisors (111773194200).

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

42388813800 is a wasteful number, since it uses less digits than its factorization.

42388813800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 42388813800 in words is "forty-two billion, three hundred eighty-eight million, eight hundred thirteen thousand, eight hundred".