40335672008352 has 192 divisors, whose sum is σ = 122990966784000. Its totient is φ = 11336606760960.

The previous prime is 40335672008323. The next prime is 40335672008389. The reversal of 40335672008352 is 25380027653304.

40335672008352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12985024 + ... + 15788672.

It is an arithmetic number, because the mean of its divisors is an integer number (640577952000).

Almost surely, 2^{40335672008352} is an apocalyptic number.

40335672008352 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 40335672008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61495483392000).

40335672008352 is an abundant number, since it is smaller than the sum of its proper divisors (82655294775648).

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

40335672008352 is a wasteful number, since it uses less digits than its factorization.

40335672008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804019 (or 2804011 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 40335672008352 in words is "forty trillion, three hundred thirty-five billion, six hundred seventy-two million, eight thousand, three hundred fifty-two".