40365112320 has 440 divisors, whose sum is σ = 155793141504. Its totient is φ = 9934700544.

The previous prime is 40365112283. The next prime is 40365112327. The reversal of 40365112320 is 2321156304.

40365112320 is a `hidden beast` number, since 4 + 0 + 3 + 651 + 1 + 2 + 3 + 2 + 0 = 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 (40365112327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5387617 + ... + 5395103.

Almost surely, 2^40365112320 is an apocalyptic number.

40365112320 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 40365112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77896570752).

40365112320 is an abundant number, since it is smaller than the sum of its proper divisors (115428029184).

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

40365112320 is a wasteful number, since it uses less digits than its factorization.

40365112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 40365112320 its reverse (2321156304), we get a palindrome (42686268624).

The spelling of 40365112320 in words is "forty billion, three hundred sixty-five million, one hundred twelve thousand, three hundred twenty".