40261983600000 has 768 divisors, whose sum is σ = 140126026360320. Its totient is φ = 10230528000000.

The previous prime is 40261983599969. The next prime is 40261983600011. The reversal of 40261983600000 is 638916204.

40261983600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2115590485 + ... + 2115609515.

It is an arithmetic number, because the mean of its divisors is an integer number (182455763490).

Almost surely, 2^{40261983600000} is an apocalyptic number.

40261983600000 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 40261983600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70063013180160).

40261983600000 is an abundant number, since it is smaller than the sum of its proper divisors (99864042760320).

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

40261983600000 is an equidigital number, since it uses as much as digits as its factorization.

40261983600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19157 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 40261983600000 in words is "forty trillion, two hundred sixty-one billion, nine hundred eighty-three million, six hundred thousand".