40106631087324 has 192 divisors, whose sum is σ = 112667227706880. Its totient is φ = 12288743470080.

The previous prime is 40106631087319. The next prime is 40106631087377. The reversal of 40106631087324 is 42378013660104.

40106631087324 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 6 + 6 + 310 + 8 + 7 + 324 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40106631087324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1450339882 + ... + 1450367534.

It is an arithmetic number, because the mean of its divisors is an integer number (586808477640).

Almost surely, 2^{40106631087324} 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 40106631087324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56333613853440).

40106631087324 is an abundant number, since it is smaller than the sum of its proper divisors (72560596619556).

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

40106631087324 is a wasteful number, since it uses less digits than its factorization.

40106631087324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46097 (or 46089 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40106631087324 in words is "forty trillion, one hundred six billion, six hundred thirty-one million, eighty-seven thousand, three hundred twenty-four".