413535399750 has 768 divisors, whose sum is σ = 1332226621440. Its totient is φ = 91445760000.

The previous prime is 413535399749. The next prime is 413535399751. The reversal of 413535399750 is 57993535314.

413535399750 is a `hidden beast` number, since 4 + 1 + 3 + 53 + 539 + 9 + 7 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (413535399749) and next prime (413535399751).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413535399751) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3256184187 + ... + 3256184313.

It is an arithmetic number, because the mean of its divisors is an integer number (1734670080).

Almost surely, 2^413535399750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413535399750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666113310720).

413535399750 is an abundant number, since it is smaller than the sum of its proper divisors (918691221690).

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

413535399750 is a wasteful number, since it uses less digits than its factorization.

413535399750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 413535399750 in words is "four hundred thirteen billion, five hundred thirty-five million, three hundred ninety-nine thousand, seven hundred fifty".