413300401440 has 192 divisors, whose sum is σ = 1415735604864. Its totient is φ = 100926701568.

The previous prime is 413300401427. The next prime is 413300401463. The reversal of 413300401440 is 44104003314.

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 413300401440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382534 + ... + 986373.

It is an arithmetic number, because the mean of its divisors is an integer number (7373622942).

Almost surely, 2^413300401440 is an apocalyptic number.

413300401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413300401440 is an abundant number, since it is smaller than the sum of its proper divisors (1002435203424).

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

413300401440 is a wasteful number, since it uses less digits than its factorization.

413300401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368979 (or 1368971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413300401440 its reverse (44104003314), we get a palindrome (457404404754).

The spelling of 413300401440 in words is "four hundred thirteen billion, three hundred million, four hundred one thousand, four hundred forty".