413021401440 has 96 divisors (see below), whose sum is σ = 1301127014880. Its totient is φ = 110129762304.

The previous prime is 413021401361. The next prime is 413021401477. The reversal of 413021401440 is 44104120314.

It is a tau number, because it is divible by the number of its divisors (96).

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 413021401440.

It is a congruent number.

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, 7150596 + ... + 7208124.

It is an arithmetic number, because the mean of its divisors is an integer number (13553406405).

Almost surely, 2^413021401440 is an apocalyptic number.

413021401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413021401440 is an abundant number, since it is smaller than the sum of its proper divisors (888105613440).

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

413021401440 is a wasteful number, since it uses less digits than its factorization.

413021401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72504 (or 72496 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 413021401440 its reverse (44104120314), we get a palindrome (457125521754).

The spelling of 413021401440 in words is "four hundred thirteen billion, twenty-one million, four hundred one thousand, four hundred forty".