40401335923312 has 160 divisors (see below), whose sum is σ = 100329538498560. Its totient is φ = 15330485882880.

The previous prime is 40401335923309. The next prime is 40401335923369. The reversal of 40401335923312 is 21332953310404.

40401335923312 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 31 ways as a sum of consecutive naturals, for example, 1139739 + ... + 9060997.

It is an arithmetic number, because the mean of its divisors is an integer number (627059615616).

Almost surely, 2^{40401335923312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40401335923312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50164769249280).

40401335923312 is an abundant number, since it is smaller than the sum of its proper divisors (59928202575248).

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

40401335923312 is a wasteful number, since it uses less digits than its factorization.

40401335923312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921431 (or 7921425 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 40401335923312 in words is "forty trillion, four hundred one billion, three hundred thirty-five million, nine hundred twenty-three thousand, three hundred twelve".