2441146134336 has 336 divisors, whose sum is σ = 8114652604800. Its totient is φ = 641962782720.

The previous prime is 2441146134289. The next prime is 2441146134353. The reversal of 2441146134336 is 6334316411442.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42655501 + ... + 42712691.

It is an arithmetic number, because the mean of its divisors is an integer number (24150751800).

Almost surely, 2^{2441146134336} is an apocalyptic number.

2441146134336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441146134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057326302400).

2441146134336 is an abundant number, since it is smaller than the sum of its proper divisors (5673506470464).

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

2441146134336 is a wasteful number, since it uses less digits than its factorization.

2441146134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57582 (or 57565 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 2441146134336 in words is "two trillion, four hundred forty-one billion, one hundred forty-six million, one hundred thirty-four thousand, three hundred thirty-six".