405035524040 has 128 divisors (see below), whose sum is σ = 1101535718400. Its totient is φ = 130936538880.

The previous prime is 405035524009. The next prime is 405035524057. The reversal of 405035524040 is 40425530504.

It is a junction number, because it is equal to n+sod(n) for n = 405035523988 and 405035524006.

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, 942107 + ... + 1302933.

It is an arithmetic number, because the mean of its divisors is an integer number (8605747800).

Almost surely, 2^405035524040 is an apocalyptic number.

405035524040 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 405035524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550767859200).

405035524040 is an abundant number, since it is smaller than the sum of its proper divisors (696500194360).

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

405035524040 is a wasteful number, since it uses less digits than its factorization.

405035524040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361075 (or 361071 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 405035524040 in words is "four hundred five billion, thirty-five million, five hundred twenty-four thousand, forty".