40325813220 has 576 divisors, whose sum is σ = 155503514880. Its totient is φ = 7689830400.

The previous prime is 40325813219. The next prime is 40325813243. The reversal of 40325813220 is 2231852304.

40325813220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40325813220³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22540086 + ... + 22541874.

It is an arithmetic number, because the mean of its divisors is an integer number (269971380).

Almost surely, 2^40325813220 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 40325813220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77751757440).

40325813220 is an abundant number, since it is smaller than the sum of its proper divisors (115177701660).

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

40325813220 is a wasteful number, since it uses less digits than its factorization.

40325813220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 40325813220 in words is "forty billion, three hundred twenty-five million, eight hundred thirteen thousand, two hundred twenty".