42618700800 has 1584 divisors, whose sum is σ = 186265078272. Its totient is φ = 9555148800.

The previous prime is 42618700781. The next prime is 42618700829. The reversal of 42618700800 is 800781624.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1374796785 + ... + 1374796815.

Almost surely, 2^42618700800 is an apocalyptic number.

42618700800 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 42618700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132539136).

42618700800 is an abundant number, since it is smaller than the sum of its proper divisors (143646377472).

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

42618700800 is a wasteful number, since it uses less digits than its factorization.

42618700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 42618700800 in words is "forty-two billion, six hundred eighteen million, seven hundred thousand, eight hundred".