42938134200 has 1296 divisors, whose sum is σ = 182077431120. Its totient is φ = 9014353920.

The previous prime is 42938134189. The next prime is 42938134231. The reversal of 42938134200 is 243183924.

42938134200 is a `hidden beast` number, since 42 + 9 + 381 + 34 + 200 = 666.

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 323 ways as a sum of consecutive naturals, for example, 1866875389 + ... + 1866875411.

It is an arithmetic number, because the mean of its divisors is an integer number (140491845).

Almost surely, 2^42938134200 is an apocalyptic number.

42938134200 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 42938134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91038715560).

42938134200 is an abundant number, since it is smaller than the sum of its proper divisors (139139296920).

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

42938134200 is a wasteful number, since it uses less digits than its factorization.

42938134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42938134200 in words is "forty-two billion, nine hundred thirty-eight million, one hundred thirty-four thousand, two hundred".