413001115152 has 160 divisors (see below), whose sum is σ = 1136990442240. Its totient is φ = 128909721600.

The previous prime is 413001115133. The next prime is 413001115169. The reversal of 413001115152 is 251511100314.

It is a super-2 number, since 2×413001115152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9903048 + ... + 9944664.

It is an arithmetic number, because the mean of its divisors is an integer number (7106190264).

Almost surely, 2^413001115152 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 413001115152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568495221120).

413001115152 is an abundant number, since it is smaller than the sum of its proper divisors (723989327088).

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

413001115152 is a wasteful number, since it uses less digits than its factorization.

413001115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841 (or 41835 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 413001115152 its reverse (251511100314), we get a palindrome (664512215466).

The spelling of 413001115152 in words is "four hundred thirteen billion, one million, one hundred fifteen thousand, one hundred fifty-two".