40691890344672 has 216 divisors, whose sum is σ = 134719634361312. Its totient is φ = 11616804864000.

The previous prime is 40691890344671. The next prime is 40691890344683. The reversal of 40691890344672 is 27644309819604.

It is a happy number.

40691890344672 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 189 + 0 + 3 + 446 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40691890344671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16200672 + ... + 18543072.

It is an arithmetic number, because the mean of its divisors is an integer number (623702010932).

Almost surely, 2^{40691890344672} is an apocalyptic number.

40691890344672 is a gapful number since it is divisible by the number (42) 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 40691890344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67359817180656).

40691890344672 is an abundant number, since it is smaller than the sum of its proper divisors (94027744016640).

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

40691890344672 is a wasteful number, since it uses less digits than its factorization.

40691890344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343662 (or 2343644 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 40691890344672 in words is "forty trillion, six hundred ninety-one billion, eight hundred ninety million, three hundred forty-four thousand, six hundred seventy-two".