413010331440 has 80 divisors (see below), whose sum is σ = 1463236608768. Its totient is φ = 94402361088.

The previous prime is 413010331343. The next prime is 413010331457. The reversal of 413010331440 is 44133010314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×413010331440⁴ (a number of 48 digits) contains 4444 as substring.

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 413010331440.

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, 122918062 + ... + 122921421.

Almost surely, 2^413010331440 is an apocalyptic number.

413010331440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413010331440 is an abundant number, since it is smaller than the sum of its proper divisors (1050226277328).

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

413010331440 is a wasteful number, since it uses less digits than its factorization.

413010331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245839506 (or 245839500 counting only the distinct ones).

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

Adding to 413010331440 its reverse (44133010314), we get a palindrome (457143341754).

The spelling of 413010331440 in words is "four hundred thirteen billion, ten million, three hundred thirty-one thousand, four hundred forty".