42694135200 has 216 divisors, whose sum is σ = 151386584076. Its totient is φ = 11322201600.

The previous prime is 42694135139. The next prime is 42694135241. The reversal of 42694135200 is 253149624.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42694135200 is a `hidden beast` number, since 4 + 269 + 41 + 352 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20670387984 + 22023747216 = 143772^2 + 148404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235879110 + ... + 235879290.

Almost surely, 2^42694135200 is an apocalyptic number.

42694135200 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 42694135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75693292038).

42694135200 is an abundant number, since it is smaller than the sum of its proper divisors (108692448876).

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

42694135200 is an frugal number, since it uses more digits than its factorization.

42694135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42694135200 in words is "forty-two billion, six hundred ninety-four million, one hundred thirty-five thousand, two hundred".