405138104370 has 96 divisors (see below), whose sum is σ = 1101238070400. Its totient is φ = 103339295136.

The previous prime is 405138104363. The next prime is 405138104401. The reversal of 405138104370 is 73401831504.

It is a happy number.

405138104370 is a `hidden beast` number, since 4 + 0 + 513 + 8 + 104 + 37 + 0 = 666.

It is a super-2 number, since 2×405138104370² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910041 + ... + 1280019.

It is an arithmetic number, because the mean of its divisors is an integer number (11471229900).

Almost surely, 2^405138104370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405138104370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550619035200).

405138104370 is an abundant number, since it is smaller than the sum of its proper divisors (696099966030).

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

405138104370 is a wasteful number, since it uses less digits than its factorization.

405138104370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370061 (or 370012 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 405138104370 its reverse (73401831504), we get a palindrome (478539935874).

The spelling of 405138104370 in words is "four hundred five billion, one hundred thirty-eight million, one hundred four thousand, three hundred seventy".