415504541440 has 144 divisors (see below), whose sum is σ = 1024359920640. Its totient is φ = 161412894720.

The previous prime is 415504541401. The next prime is 415504541447. The reversal of 415504541440 is 44145405514.

It is a self number, because there is not a number n which added to its sum of digits gives 415504541440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415504541447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6054841 + ... + 6123079.

It is an arithmetic number, because the mean of its divisors is an integer number (7113610560).

Almost surely, 2^415504541440 is an apocalyptic number.

415504541440 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 415504541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512179960320).

415504541440 is an abundant number, since it is smaller than the sum of its proper divisors (608855379200).

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

415504541440 is an equidigital number, since it uses as much as digits as its factorization.

415504541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68398 (or 68384 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

Adding to 415504541440 its reverse (44145405514), we get a palindrome (459649946954).

The spelling of 415504541440 in words is "four hundred fifteen billion, five hundred four million, five hundred forty-one thousand, four hundred forty".