40824452380320 has 576 divisors, whose sum is σ = 164511745542144. Its totient is φ = 9021480468480.

The previous prime is 40824452380307. The next prime is 40824452380331. The reversal of 40824452380320 is 2308325442804.

40824452380320 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 44 + 523 + 80 + 3 + 2 + 0 = 666.

40824452380320 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 (45).

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 95 ways as a sum of consecutive naturals, for example, 322728604 + ... + 322855076.

It is an arithmetic number, because the mean of its divisors is an integer number (285610669344).

Almost surely, 2^{40824452380320} is an apocalyptic number.

40824452380320 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 40824452380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82255872771072).

40824452380320 is an abundant number, since it is smaller than the sum of its proper divisors (123687293161824).

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

40824452380320 is a wasteful number, since it uses less digits than its factorization.

40824452380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127565 (or 127554 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 40824452380320 in words is "forty trillion, eight hundred twenty-four billion, four hundred fifty-two million, three hundred eighty thousand, three hundred twenty".