42708481200 has 2400 divisors, whose sum is σ = 217008253440. Its totient is φ = 7763558400.

The previous prime is 42708481187. The next prime is 42708481223. The reversal of 42708481200 is 218480724.

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 479 ways as a sum of consecutive naturals, for example, 805820374 + ... + 805820426.

Almost surely, 2^42708481200 is an apocalyptic number.

42708481200 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 42708481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108504126720).

42708481200 is an abundant number, since it is smaller than the sum of its proper divisors (174299772240).

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

42708481200 is a wasteful number, since it uses less digits than its factorization.

42708481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 42708481200 in words is "forty-two billion, seven hundred eight million, four hundred eighty-one thousand, two hundred".