40681612800 has 480 divisors, whose sum is σ = 152207177760. Its totient is φ = 10638950400.

The previous prime is 40681612793. The next prime is 40681612831. The reversal of 40681612800 is 821618604.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18315690 + ... + 18317910.

It is an arithmetic number, because the mean of its divisors is an integer number (317098287).

Almost surely, 2^40681612800 is an apocalyptic number.

40681612800 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 40681612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76103588880).

40681612800 is an abundant number, since it is smaller than the sum of its proper divisors (111525564960).

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

40681612800 is a wasteful number, since it uses less digits than its factorization.

40681612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 40681612800 in words is "forty billion, six hundred eighty-one million, six hundred twelve thousand, eight hundred".