2413401033000 has 256 divisors, whose sum is σ = 7945112448000. Its totient is φ = 608240160000.

The previous prime is 2413401032993. The next prime is 2413401033007. The reversal of 2413401033000 is 3301043142.

It is an interprime number because it is at equal distance from previous prime (2413401032993) and next prime (2413401033007).

It is not an unprimeable number, because it can be changed into a prime (2413401033007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23832475 + ... + 23933525.

It is an arithmetic number, because the mean of its divisors is an integer number (31035595500).

Almost surely, 2^{2413401033000} is an apocalyptic number.

2413401033000 is a gapful number since it is divisible by the number (20) 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 2413401033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972556224000).

2413401033000 is an abundant number, since it is smaller than the sum of its proper divisors (5531711415000).

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

2413401033000 is a wasteful number, since it uses less digits than its factorization.

2413401033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101513 (or 101499 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2413401033000 its reverse (3301043142), we get a palindrome (2416702076142).

The spelling of 2413401033000 in words is "two trillion, four hundred thirteen billion, four hundred one million, thirty-three thousand".