40025830320 has 480 divisors, whose sum is σ = 162439603200. Its totient is φ = 9031067136.

The previous prime is 40025830307. The next prime is 40025830321. The reversal of 40025830320 is 2303852004.

40025830320 is a `hidden beast` number, since 400 + 258 + 3 + 0 + 3 + 2 + 0 = 666.

40025830320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40025830321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8358967 + ... + 8363753.

It is an arithmetic number, because the mean of its divisors is an integer number (338415840).

Almost surely, 2^40025830320 is an apocalyptic number.

40025830320 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 40025830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81219801600).

40025830320 is an abundant number, since it is smaller than the sum of its proper divisors (122413772880).

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

40025830320 is a wasteful number, since it uses less digits than its factorization.

40025830320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 40025830320 in words is "forty billion, twenty-five million, eight hundred thirty thousand, three hundred twenty".