413873443440 has 240 divisors, whose sum is σ = 1443576176640. Its totient is φ = 106149864960.

The previous prime is 413873443427. The next prime is 413873443457. The reversal of 413873443440 is 44344378314.

413873443440 is a `hidden beast` number, since 4 + 138 + 7 + 34 + 43 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3581281 + ... + 3695039.

It is an arithmetic number, because the mean of its divisors is an integer number (6014900736).

Almost surely, 2^413873443440 is an apocalyptic number.

413873443440 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 413873443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721788088320).

413873443440 is an abundant number, since it is smaller than the sum of its proper divisors (1029702733200).

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

413873443440 is a wasteful number, since it uses less digits than its factorization.

413873443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113972 (or 113963 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 413873443440 in words is "four hundred thirteen billion, eight hundred seventy-three million, four hundred forty-three thousand, four hundred forty".