405052044240 has 160 divisors (see below), whose sum is σ = 1264105092096. Its totient is φ = 107289722880.

The previous prime is 405052044227. The next prime is 405052044251. The reversal of 405052044240 is 42440250504.

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 = 405052044198 and 405052044207.

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, 24664512 + ... + 24680928.

Almost surely, 2^405052044240 is an apocalyptic number.

405052044240 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 405052044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632052546048).

405052044240 is an abundant number, since it is smaller than the sum of its proper divisors (859053047856).

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

405052044240 is a wasteful number, since it uses less digits than its factorization.

405052044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17117 (or 17111 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 405052044240 its reverse (42440250504), we get a palindrome (447492294744).

The spelling of 405052044240 in words is "four hundred five billion, fifty-two million, forty-four thousand, two hundred forty".