40435400140800 has 576 divisors, whose sum is σ = 153032640284160. Its totient is φ = 9226488053760.

The previous prime is 40435400140789. The next prime is 40435400140879. The reversal of 40435400140800 is 804100453404.

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 47 ways as a sum of consecutive naturals, for example, 631110367 + ... + 631174433.

It is an arithmetic number, because the mean of its divisors is an integer number (265681667160).

Almost surely, 2^{40435400140800} is an apocalyptic number.

40435400140800 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 40435400140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76516320142080).

40435400140800 is an abundant number, since it is smaller than the sum of its proper divisors (112597240143360).

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

40435400140800 is a wasteful number, since it uses less digits than its factorization.

40435400140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64696 (or 64671 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 40435400140800 in words is "forty trillion, four hundred thirty-five billion, four hundred million, one hundred forty thousand, eight hundred".