42420501200 has 240 divisors, whose sum is σ = 134539138944. Its totient is φ = 12444057600.

The previous prime is 42420501113. The next prime is 42420501247. The reversal of 42420501200 is 210502424.

It is a happy number.

42420501200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483092 + ... + 564108.

Almost surely, 2^42420501200 is an apocalyptic number.

42420501200 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 42420501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67269569472).

42420501200 is an abundant number, since it is smaller than the sum of its proper divisors (92118637744).

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

42420501200 is a wasteful number, since it uses less digits than its factorization.

42420501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81070 (or 81059 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 42420501200 in words is "forty-two billion, four hundred twenty million, five hundred one thousand, two hundred".