40427118600 has 768 divisors, whose sum is σ = 152733081600. Its totient is φ = 8730624000.

The previous prime is 40427118581. The next prime is 40427118623. The reversal of 40427118600 is 681172404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205213702 + ... + 205213898.

It is an arithmetic number, because the mean of its divisors is an integer number (198871200).

Almost surely, 2^40427118600 is an apocalyptic number.

40427118600 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 40427118600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76366540800).

40427118600 is an abundant number, since it is smaller than the sum of its proper divisors (112305963000).

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

40427118600 is a wasteful number, since it uses less digits than its factorization.

40427118600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 40427118600 in words is "forty billion, four hundred twenty-seven million, one hundred eighteen thousand, six hundred".