40406082528000 has 2304 divisors, whose sum is σ = 167500881580032. Its totient is φ = 8422686720000.

The previous prime is 40406082527969. The next prime is 40406082528043. The reversal of 40406082528000 is 82528060404.

It is a self number, because there is not a number n which added to its sum of digits gives 40406082528000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 131615903847 + ... + 131615904153.

It is an arithmetic number, because the mean of its divisors is an integer number (72700035408).

Almost surely, 2^{40406082528000} is an apocalyptic number.

40406082528000 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 40406082528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83750440790016).

40406082528000 is an abundant number, since it is smaller than the sum of its proper divisors (127094799052032).

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

40406082528000 is a wasteful number, since it uses less digits than its factorization.

40406082528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 40406082528000 in words is "forty trillion, four hundred six billion, eighty-two million, five hundred twenty-eight thousand".