405541001430 has 112 divisors (see below), whose sum is σ = 1096090007184. Its totient is φ = 107983212480.

The previous prime is 405541001423. The next prime is 405541001431. The reversal of 405541001430 is 34100145504.

It is a happy number.

405541001430 is a `hidden beast` number, since 4 + 0 + 554 + 100 + 1 + 4 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 405541001394 and 405541001403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405541001431) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4894245 + ... + 4976415.

Almost surely, 2^405541001430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405541001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548045003592).

405541001430 is an abundant number, since it is smaller than the sum of its proper divisors (690549005754).

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

405541001430 is an equidigital number, since it uses as much as digits as its factorization.

405541001430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82873 (or 82858 counting only the distinct ones).

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

Adding to 405541001430 its reverse (34100145504), we get a palindrome (439641146934).

The spelling of 405541001430 in words is "four hundred five billion, five hundred forty-one million, one thousand, four hundred thirty".