40788406298772 has 216 divisors, whose sum is σ = 115397039942912. Its totient is φ = 12136117973760.

The previous prime is 40788406298771. The next prime is 40788406298791. The reversal of 40788406298772 is 27789260488704.

It is a happy number.

40788406298772 is a `hidden beast` number, since 4 + 0 + 78 + 8 + 406 + 2 + 9 + 87 + 72 = 666.

It is a super-3 number, since 3×40788406298772³ (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 40788406298772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40788406298771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70623723 + ... + 71198925.

Almost surely, 2^{40788406298772} 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 40788406298772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57698519971456).

40788406298772 is an abundant number, since it is smaller than the sum of its proper divisors (74608633644140).

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

40788406298772 is a wasteful number, since it uses less digits than its factorization.

40788406298772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575531 (or 575515 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 40788406298772 in words is "forty trillion, seven hundred eighty-eight billion, four hundred six million, two hundred ninety-eight thousand, seven hundred seventy-two".