2414104012000 has 192 divisors, whose sum is σ = 6199783244928. Its totient is φ = 922099200000.

The previous prime is 2414104011997. The next prime is 2414104012009. The reversal of 2414104012000 is 2104014142.

It is a super-2 number, since 2×2414104012000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414104012009) 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, 55270170 + ... + 55313830.

It is an arithmetic number, because the mean of its divisors is an integer number (32290537734).

Almost surely, 2^{2414104012000} is an apocalyptic number.

2414104012000 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 2414104012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099891622464).

2414104012000 is an abundant number, since it is smaller than the sum of its proper divisors (3785679232928).

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

2414104012000 is a wasteful number, since it uses less digits than its factorization.

2414104012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44310 (or 44292 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2414104012000 its reverse (2104014142), we get a palindrome (2416208026142).

The spelling of 2414104012000 in words is "two trillion, four hundred fourteen billion, one hundred four million, twelve thousand".