40309965425664 has 880 divisors, whose sum is σ = 135792269623296. Its totient is φ = 11800210636800.

The previous prime is 40309965425531. The next prime is 40309965425669. The reversal of 40309965425664 is 46652456990304.

40309965425664 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 9 + 9 + 65 + 4 + 2 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (40309965425669) 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 79 ways as a sum of consecutive naturals, for example, 24239304897 + ... + 24239306559.

Almost surely, 2^{40309965425664} is an apocalyptic number.

40309965425664 is a gapful number since it is divisible by the number (44) 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 40309965425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67896134811648).

40309965425664 is an abundant number, since it is smaller than the sum of its proper divisors (95482304197632).

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

40309965425664 is a wasteful number, since it uses less digits than its factorization.

40309965425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 40309965425664 in words is "forty trillion, three hundred nine billion, nine hundred sixty-five million, four hundred twenty-five thousand, six hundred sixty-four".