413741882070 has 384 divisors, whose sum is σ = 1284200386560. Its totient is φ = 94787729280.

The previous prime is 413741881981. The next prime is 413741882083. The reversal of 413741882070 is 70288147314.

413741882070 is a `hidden beast` number, since 413 + 74 + 1 + 88 + 20 + 70 = 666.

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 191 ways as a sum of consecutive naturals, for example, 285930087 + ... + 285931533.

It is an arithmetic number, because the mean of its divisors is an integer number (3344271840).

Almost surely, 2^413741882070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413741882070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642100193280).

413741882070 is an abundant number, since it is smaller than the sum of its proper divisors (870458504490).

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

413741882070 is a wasteful number, since it uses less digits than its factorization.

413741882070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 413741882070 in words is "four hundred thirteen billion, seven hundred forty-one million, eight hundred eighty-two thousand, seventy".