413157751314 has 256 divisors, whose sum is σ = 1113108480000. Its totient is φ = 98992212480.

The previous prime is 413157751313. The next prime is 413157751343.

413157751314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (413157751313) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 135504462 + ... + 135507510.

It is an arithmetic number, because the mean of its divisors is an integer number (4348080000).

Almost surely, 2^413157751314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413157751314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556554240000).

413157751314 is an abundant number, since it is smaller than the sum of its proper divisors (699950728686).

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

413157751314 is a wasteful number, since it uses less digits than its factorization.

413157751314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493.

The product of its digits is 176400, while the sum is 42.

The spelling of 413157751314 in words is "four hundred thirteen billion, one hundred fifty-seven million, seven hundred fifty-one thousand, three hundred fourteen".