40234779164040 has 256 divisors, whose sum is σ = 125270954092800. Its totient is φ = 10331473711104.

The previous prime is 40234779164033. The next prime is 40234779164051. The reversal of 40234779164040 is 4046197743204.

It is a happy number.

40234779164040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229934662 + ... + 230109578.

It is an arithmetic number, because the mean of its divisors is an integer number (489339664425).

Almost surely, 2^{40234779164040} is an apocalyptic number.

40234779164040 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 40234779164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62635477046400).

40234779164040 is an abundant number, since it is smaller than the sum of its proper divisors (85036174928760).

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

40234779164040 is a wasteful number, since it uses less digits than its factorization.

40234779164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175656 (or 175652 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 40234779164040 in words is "forty trillion, two hundred thirty-four billion, seven hundred seventy-nine million, one hundred sixty-four thousand, forty".