40140663047100 has 432 divisors, whose sum is σ = 157369318718976. Its totient is φ = 8314092864000.

The previous prime is 40140663047081. The next prime is 40140663047101. The reversal of 40140663047100 is 174036604104.

40140663047100 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 6 + 630 + 4 + 7 + 10 + 0 = 666.

It is a super-3 number, since 3×40140663047100³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40140663047101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20621062 + ... + 22483538.

It is an arithmetic number, because the mean of its divisors is an integer number (364280830368).

Almost surely, 2^{40140663047100} 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 40140663047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78684659359488).

40140663047100 is an abundant number, since it is smaller than the sum of its proper divisors (117228655671876).

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

40140663047100 is a wasteful number, since it uses less digits than its factorization.

40140663047100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862826 (or 1862816 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40140663047100 in words is "forty trillion, one hundred forty billion, six hundred sixty-three million, forty-seven thousand, one hundred".