413141441153100 has 288 divisors, whose sum is σ = 1308659177785344. Its totient is φ = 99800012390400.

The previous prime is 413141441153081. The next prime is 413141441153107. The reversal of 413141441153100 is 1351144141314.

It is a super-2 number, since 2×413141441153100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (413141441153107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419082149 + ... + 1419373251.

Almost surely, 2^{413141441153100} 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 413141441153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654329588892672).

413141441153100 is an abundant number, since it is smaller than the sum of its proper divisors (895517736632244).

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

413141441153100 is a wasteful number, since it uses less digits than its factorization.

413141441153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292657 (or 292650 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 413141441153100 its reverse (1351144141314), we get a palindrome (414492585294414).

The spelling of 413141441153100 in words is "four hundred thirteen trillion, one hundred forty-one billion, four hundred forty-one million, one hundred fifty-three thousand, one hundred".