415032401440 has 48 divisors (see below), whose sum is σ = 982511208000. Its totient is φ = 165674817280.

The previous prime is 415032401417. The next prime is 415032401503. The reversal of 415032401440 is 44104230514.

It is a junction number, because it is equal to n+sod(n) for n = 415032401399 and 415032401408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562940 + ... + 2720059.

It is an arithmetic number, because the mean of its divisors is an integer number (20468983500).

Almost surely, 2^415032401440 is an apocalyptic number.

415032401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415032401440 is an abundant number, since it is smaller than the sum of its proper divisors (567478806560).

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

415032401440 is a wasteful number, since it uses less digits than its factorization.

415032401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283505 (or 5283497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 415032401440 its reverse (44104230514), we get a palindrome (459136631954).

The spelling of 415032401440 in words is "four hundred fifteen billion, thirty-two million, four hundred one thousand, four hundred forty".