40166544000 has 512 divisors, whose sum is σ = 146644992000. Its totient is φ = 9644544000.

The previous prime is 40166543959. The next prime is 40166544007. The reversal of 40166544000 is 44566104.

40166544000 = 17721² + 17722² + ... + 17847².

It is a super-2 number, since 2×40166544000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40166544007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67055701 + ... + 67056299.

It is an arithmetic number, because the mean of its divisors is an integer number (286416000).

Almost surely, 2^40166544000 is an apocalyptic number.

40166544000 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 40166544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322496000).

40166544000 is an abundant number, since it is smaller than the sum of its proper divisors (106478448000).

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

40166544000 is a wasteful number, since it uses less digits than its factorization.

40166544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 40166544000 in words is "forty billion, one hundred sixty-six million, five hundred forty-four thousand".