40166304254120 has 192 divisors, whose sum is σ = 102774856665600. Its totient is φ = 14100556377600.

The previous prime is 40166304254113. The next prime is 40166304254129. The reversal of 40166304254120 is 2145240366104.

It is a super-2 number, since 2×40166304254120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40166304254129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848670697 + ... + 1848692423.

It is an arithmetic number, because the mean of its divisors is an integer number (535285711800).

Almost surely, 2^{40166304254120} is an apocalyptic number.

40166304254120 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 40166304254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51387428332800).

40166304254120 is an abundant number, since it is smaller than the sum of its proper divisors (62608552411480).

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

40166304254120 is a wasteful number, since it uses less digits than its factorization.

40166304254120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34960 (or 34945 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 40166304254120 in words is "forty trillion, one hundred sixty-six billion, three hundred four million, two hundred fifty-four thousand, one hundred twenty".