40005404123520 has 256 divisors, whose sum is σ = 139227577263360. Its totient is φ = 9690061824000.

The previous prime is 40005404123519. The next prime is 40005404123561. The reversal of 40005404123520 is 2532140450004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24140775 + ... + 25744665.

It is an arithmetic number, because the mean of its divisors is an integer number (543857723685).

Almost surely, 2^{40005404123520} is an apocalyptic number.

40005404123520 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 40005404123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69613788631680).

40005404123520 is an abundant number, since it is smaller than the sum of its proper divisors (99222173139840).

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

40005404123520 is a wasteful number, since it uses less digits than its factorization.

40005404123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605105 (or 1605093 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 40005404123520 its reverse (2532140450004), we get a palindrome (42537544573524).

The spelling of 40005404123520 in words is "forty trillion, five billion, four hundred four million, one hundred twenty-three thousand, five hundred twenty".