40829060885760 has 864 divisors, whose sum is σ = 162139527793152. Its totient is φ = 9292302581760.

The previous prime is 40829060885663. The next prime is 40829060885761. The reversal of 40829060885760 is 6758806092804.

40829060885760 is a `hidden beast` number, since 408 + 2 + 90 + 6 + 0 + 8 + 85 + 7 + 60 = 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 (40829060885761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33006515862 + ... + 33006517098.

Almost surely, 2^{40829060885760} is an apocalyptic number.

40829060885760 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 40829060885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81069763896576).

40829060885760 is an abundant number, since it is smaller than the sum of its proper divisors (121310466907392).

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

40829060885760 is a wasteful number, since it uses less digits than its factorization.

40829060885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 40829060885760 in words is "forty trillion, eight hundred twenty-nine billion, sixty million, eight hundred eighty-five thousand, seven hundred sixty".