405424104240 has 160 divisors (see below), whose sum is σ = 1343183316480. Its totient is φ = 100802424832.

The previous prime is 405424104229. The next prime is 405424104259. The reversal of 405424104240 is 42401424504.

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

It is a junction number, because it is equal to n+sod(n) for n = 405424104198 and 405424104207.

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, 27780 + ... + 900899.

It is an arithmetic number, because the mean of its divisors is an integer number (8394895728).

Almost surely, 2^405424104240 is an apocalyptic number.

405424104240 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 405424104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671591658240).

405424104240 is an abundant number, since it is smaller than the sum of its proper divisors (937759212240).

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

405424104240 is a wasteful number, since it uses less digits than its factorization.

405424104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928819 (or 928813 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 405424104240 its reverse (42401424504), we get a palindrome (447825528744).

The spelling of 405424104240 in words is "four hundred five billion, four hundred twenty-four million, one hundred four thousand, two hundred forty".