40166600436 has 144 divisors (see below), whose sum is σ = 110034707328. Its totient is φ = 12787632000.

The previous prime is 40166600407. The next prime is 40166600473. The reversal of 40166600436 is 63400666104.

It is a super-2 number, since 2×40166600436² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40166600436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29084466 + ... + 29085846.

It is an arithmetic number, because the mean of its divisors is an integer number (764129912).

Almost surely, 2^40166600436 is an apocalyptic number.

40166600436 is a gapful number since it is divisible by the number (46) 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 40166600436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55017353664).

40166600436 is an abundant number, since it is smaller than the sum of its proper divisors (69868106892).

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

40166600436 is a wasteful number, since it uses less digits than its factorization.

40166600436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40166600436 in words is "forty billion, one hundred sixty-six million, six hundred thousand, four hundred thirty-six".