413033101440 has 128 divisors (see below), whose sum is σ = 1318715665920. Its totient is φ = 109960396800.

The previous prime is 413033101381. The next prime is 413033101451. The reversal of 413033101440 is 44101330314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413033101440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988240 + ... + 1342640.

It is an arithmetic number, because the mean of its divisors is an integer number (10302466140).

Almost surely, 2^413033101440 is an apocalyptic number.

413033101440 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 413033101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659357832960).

413033101440 is an abundant number, since it is smaller than the sum of its proper divisors (905682564480).

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

413033101440 is a wasteful number, since it uses less digits than its factorization.

413033101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355030 (or 355018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413033101440 its reverse (44101330314), we get a palindrome (457134431754).

The spelling of 413033101440 in words is "four hundred thirteen billion, thirty-three million, one hundred one thousand, four hundred forty".