40424040031320 has 1536 divisors, whose sum is σ = 155978379648000. Its totient is φ = 8975708651520.

The previous prime is 40424040031253. The next prime is 40424040031321. The reversal of 40424040031320 is 2313004042404.

It is a happy number.

40424040031320 is a `hidden beast` number, since 4 + 0 + 4 + 240 + 400 + 3 + 13 + 2 + 0 = 666.

It is a super-3 number, since 3×40424040031320³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40424040031321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 129150287484 + ... + 129150287796.

It is an arithmetic number, because the mean of its divisors is an integer number (101548424250).

Almost surely, 2^{40424040031320} is an apocalyptic number.

40424040031320 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 40424040031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77989189824000).

40424040031320 is an abundant number, since it is smaller than the sum of its proper divisors (115554339616680).

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

40424040031320 is a wasteful number, since it uses less digits than its factorization.

40424040031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40424040031320 its reverse (2313004042404), we get a palindrome (42737044073724).

The spelling of 40424040031320 in words is "forty trillion, four hundred twenty-four billion, forty million, thirty-one thousand, three hundred twenty".