42681394800 has 1080 divisors, whose sum is σ = 178651898880. Its totient is φ = 9751104000.

The previous prime is 42681394787. The next prime is 42681394831. The reversal of 42681394800 is 849318624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 223462705 + ... + 223462895.

Almost surely, 2^42681394800 is an apocalyptic number.

42681394800 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 42681394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89325949440).

42681394800 is an abundant number, since it is smaller than the sum of its proper divisors (135970504080).

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

42681394800 is a wasteful number, since it uses less digits than its factorization.

42681394800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42681394800 in words is "forty-two billion, six hundred eighty-one million, three hundred ninety-four thousand, eight hundred".