40166254616700 has 288 divisors, whose sum is σ = 119688349455360. Its totient is φ = 10392469862400.

The previous prime is 40166254616689. The next prime is 40166254616723. The reversal of 40166254616700 is 761645266104.

It is a super-2 number, since 2×40166254616700² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40166254616700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10223020336 + ... + 10223024264.

It is an arithmetic number, because the mean of its divisors is an integer number (415584546720).

Almost surely, 2^{40166254616700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40166254616700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59844174727680).

40166254616700 is an abundant number, since it is smaller than the sum of its proper divisors (79522094838660).

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

40166254616700 is a wasteful number, since it uses less digits than its factorization.

40166254616700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 40166254616700 in words is "forty trillion, one hundred sixty-six billion, two hundred fifty-four million, six hundred sixteen thousand, seven hundred".