413110794240 has 576 divisors, whose sum is σ = 1513543449600. Its totient is φ = 103997177856.

The previous prime is 413110794227. The next prime is 413110794247. The reversal of 413110794240 is 42497011314.

413110794240 is a `hidden beast` number, since 413 + 110 + 7 + 94 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413110794195 and 413110794204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413110794247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167453487 + ... + 167455953.

It is an arithmetic number, because the mean of its divisors is an integer number (2627679600).

Almost surely, 2^413110794240 is an apocalyptic number.

413110794240 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 413110794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756771724800).

413110794240 is an abundant number, since it is smaller than the sum of its proper divisors (1100432655360).

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

413110794240 is a wasteful number, since it uses less digits than its factorization.

413110794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 413110794240 in words is "four hundred thirteen billion, one hundred ten million, seven hundred ninety-four thousand, two hundred forty".