40769899632 has 720 divisors, whose sum is σ = 152821468800. Its totient is φ = 10018391040.

The previous prime is 40769899607. The next prime is 40769899633. The reversal of 40769899632 is 23699896704.

40769899632 is a `hidden beast` number, since 407 + 69 + 89 + 96 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40769899632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40769899633) 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 143 ways as a sum of consecutive naturals, for example, 132800823 + ... + 132801129.

It is an arithmetic number, because the mean of its divisors is an integer number (212252040).

Almost surely, 2^40769899632 is an apocalyptic number.

40769899632 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 40769899632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76410734400).

40769899632 is an abundant number, since it is smaller than the sum of its proper divisors (112051569168).

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

40769899632 is a wasteful number, since it uses less digits than its factorization.

40769899632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 40769899632 in words is "forty billion, seven hundred sixty-nine million, eight hundred ninety-nine thousand, six hundred thirty-two".