42913411200 has 1152 divisors, whose sum is σ = 180241588800. Its totient is φ = 9986457600.

The previous prime is 42913411193. The next prime is 42913411237. The reversal of 42913411200 is 211431924.

It is a happy number.

42913411200 is a `hidden beast` number, since 42 + 9 + 1 + 3 + 411 + 200 = 666.

42913411200 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 (27).

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, 248054314 + ... + 248054486.

Almost surely, 2^42913411200 is an apocalyptic number.

42913411200 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 42913411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90120794400).

42913411200 is an abundant number, since it is smaller than the sum of its proper divisors (137328177600).

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

42913411200 is a wasteful number, since it uses less digits than its factorization.

42913411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 42913411200 in words is "forty-two billion, nine hundred thirteen million, four hundred eleven thousand, two hundred".