40163653146200 has 96 divisors (see below), whose sum is σ = 94664805945600. Its totient is φ = 15844528143360.

The previous prime is 40163653146167. The next prime is 40163653146203. The reversal of 40163653146200 is 264135636104.

It is a super-2 number, since 2×40163653146200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40163653146203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315135689 + ... + 315263111.

It is an arithmetic number, because the mean of its divisors is an integer number (986091728600).

Almost surely, 2^{40163653146200} is an apocalyptic number.

40163653146200 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 40163653146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47332402972800).

40163653146200 is an abundant number, since it is smaller than the sum of its proper divisors (54501152799400).

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

40163653146200 is a wasteful number, since it uses less digits than its factorization.

40163653146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149101 (or 149092 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 40163653146200 in words is "forty trillion, one hundred sixty-three billion, six hundred fifty-three million, one hundred forty-six thousand, two hundred".