42746371200 has 1152 divisors, whose sum is σ = 176788684800. Its totient is φ = 9754214400.

The previous prime is 42746371189. The next prime is 42746371219. The reversal of 42746371200 is 217364724.

42746371200 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 637 + 12 + 0 + 0 = 666.

42746371200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 336585537 + ... + 336585663.

It is an arithmetic number, because the mean of its divisors is an integer number (153462400).

Almost surely, 2^42746371200 is an apocalyptic number.

42746371200 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 42746371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88394342400).

42746371200 is an abundant number, since it is smaller than the sum of its proper divisors (134042313600).

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

42746371200 is a wasteful number, since it uses less digits than its factorization.

42746371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42746371200 in words is "forty-two billion, seven hundred forty-six million, three hundred seventy-one thousand, two hundred".