40368959729280 has 2560 divisors, whose sum is σ = 183106401730560. Its totient is φ = 8248553865216.

The previous prime is 40368959729179. The next prime is 40368959729333. The reversal of 40368959729280 is 8292795986304.

40368959729280 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 8 + 9 + 597 + 2 + 9 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40368959729199 and 40368959729208.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 25761939057 + ... + 25761940623.

It is an arithmetic number, because the mean of its divisors is an integer number (71525938176).

Almost surely, 2^{40368959729280} is an apocalyptic number.

40368959729280 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 40368959729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91553200865280).

40368959729280 is an abundant number, since it is smaller than the sum of its proper divisors (142737442001280).

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

40368959729280 is a wasteful number, since it uses less digits than its factorization.

40368959729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 40368959729280 in words is "forty trillion, three hundred sixty-eight billion, nine hundred fifty-nine million, seven hundred twenty-nine thousand, two hundred eighty".