40309233120 has 384 divisors, whose sum is σ = 160875953280. Its totient is φ = 9338388480.

The previous prime is 40309233091. The next prime is 40309233127. The reversal of 40309233120 is 2133290304.

It is a happy number.

40309233120 is a `hidden beast` number, since 4 + 0 + 309 + 2 + 331 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40309233127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 933610 + ... + 975830.

It is an arithmetic number, because the mean of its divisors is an integer number (418947795).

Almost surely, 2^40309233120 is an apocalyptic number.

40309233120 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 40309233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80437976640).

40309233120 is an abundant number, since it is smaller than the sum of its proper divisors (120566720160).

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

40309233120 is a wasteful number, since it uses less digits than its factorization.

40309233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42275 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 40309233120 in words is "forty billion, three hundred nine million, two hundred thirty-three thousand, one hundred twenty".