40632254626104 has 192 divisors, whose sum is σ = 112168696872960. Its totient is φ = 13284829232640.

The previous prime is 40632254626087. The next prime is 40632254626121. The reversal of 40632254626104 is 40162645223604.

It is a happy number.

40632254626104 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 2 + 2 + 5 + 4 + 626 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (40632254626087) and next prime (40632254626121).

It is a super-3 number, since 3×40632254626104³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40632254626104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895769372 + ... + 1895790804.

It is an arithmetic number, because the mean of its divisors is an integer number (584211962880).

Almost surely, 2^{40632254626104} 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 40632254626104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56084348436480).

40632254626104 is an abundant number, since it is smaller than the sum of its proper divisors (71536442246856).

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

40632254626104 is a wasteful number, since it uses less digits than its factorization.

40632254626104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23402 (or 23395 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 40632254626104 its reverse (40162645223604), we get a palindrome (80794899849708).

The spelling of 40632254626104 in words is "forty trillion, six hundred thirty-two billion, two hundred fifty-four million, six hundred twenty-six thousand, one hundred four".