40764081800 has 96 divisors (see below), whose sum is σ = 102149894280. Its totient is φ = 15039129600.

The previous prime is 40764081793. The next prime is 40764081823. The reversal of 40764081800 is 818046704.

40764081800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 289884676 + 40474197124 = 17026^2 + 201182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3584924 + ... + 3596276.

Almost surely, 2^40764081800 is an apocalyptic number.

40764081800 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 40764081800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51074947140).

40764081800 is an abundant number, since it is smaller than the sum of its proper divisors (61385812480).

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

40764081800 is a wasteful number, since it uses less digits than its factorization.

40764081800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 40764081800 in words is "forty billion, seven hundred sixty-four million, eighty-one thousand, eight hundred".