400415004135 has 48 divisors (see below), whose sum is σ = 699579099648. Its totient is φ = 211855300800.

The previous prime is 400415004113. The next prime is 400415004149. The reversal of 400415004135 is 531400514004.

It is a happy number.

It is not a de Polignac number, because 400415004135 - 2¹² = 400415000039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400415004099 and 400415004108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21631294 + ... + 21649796.

It is an arithmetic number, because the mean of its divisors is an integer number (14574564576).

Almost surely, 2^400415004135 is an apocalyptic number.

400415004135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

400415004135 is a deficient number, since it is larger than the sum of its proper divisors (299164095513).

400415004135 is a wasteful number, since it uses less digits than its factorization.

400415004135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22316 (or 22313 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 400415004135 its reverse (531400514004), we get a palindrome (931815518139).

The spelling of 400415004135 in words is "four hundred billion, four hundred fifteen million, four thousand, one hundred thirty-five".