42113971200 has 1188 divisors, whose sum is σ = 176396245632. Its totient is φ = 8825241600.

The previous prime is 42113971183. The next prime is 42113971201. The reversal of 42113971200 is 217931124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113971201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1358515185 + ... + 1358515215.

Almost surely, 2^42113971200 is an apocalyptic number.

42113971200 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 42113971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88198122816).

42113971200 is an abundant number, since it is smaller than the sum of its proper divisors (134282274432).

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

42113971200 is a wasteful number, since it uses less digits than its factorization.

42113971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 42113971200 in words is "forty-two billion, one hundred thirteen million, nine hundred seventy-one thousand, two hundred".