40994188527600 has 1440 divisors, whose sum is σ = 186274052697600. Its totient is φ = 8467064524800.

The previous prime is 40994188527521. The next prime is 40994188527613. The reversal of 40994188527600 is 672588149904.

40994188527600 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 4 + 18 + 8 + 5 + 2 + 7 + 600 = 666.

It is a super-2 number, since 2×40994188527600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 972119316 + ... + 972161484.

It is an arithmetic number, because the mean of its divisors is an integer number (129356981040).

Almost surely, 2^{40994188527600} is an apocalyptic number.

40994188527600 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 40994188527600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93137026348800).

40994188527600 is an abundant number, since it is smaller than the sum of its proper divisors (145279864170000).

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

40994188527600 is a wasteful number, since it uses less digits than its factorization.

40994188527600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42388 (or 42364 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 40994188527600 in words is "forty trillion, nine hundred ninety-four billion, one hundred eighty-eight million, five hundred twenty-seven thousand, six hundred".