413154211344 has 160 divisors (see below), whose sum is σ = 1257931987200. Its totient is φ = 114391449600.

The previous prime is 413154211343. The next prime is 413154211397. The reversal of 413154211344 is 443112451314.

It is not an unprimeable number, because it can be changed into a prime (413154211343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951984 + ... + 2153264.

It is an arithmetic number, because the mean of its divisors is an integer number (7862074920).

Almost surely, 2^413154211344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413154211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628965993600).

413154211344 is an abundant number, since it is smaller than the sum of its proper divisors (844777775856).

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

413154211344 is a wasteful number, since it uses less digits than its factorization.

413154211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201489 (or 201483 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 413154211344 its reverse (443112451314), we get a palindrome (856266662658).

The spelling of 413154211344 in words is "four hundred thirteen billion, one hundred fifty-four million, two hundred eleven thousand, three hundred forty-four".