2104414023040 has 192 divisors, whose sum is σ = 5866574839200. Its totient is φ = 719744901120.

The previous prime is 2104414022969. The next prime is 2104414023073. The reversal of 2104414023040 is 403204144012.

It is a junction number, because it is equal to n+sod(n) for n = 2104414022996 and 2104414023014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12744205 + ... + 12908275.

Almost surely, 2^{2104414023040} is an apocalyptic number.

2104414023040 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 2104414023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933287419600).

2104414023040 is an abundant number, since it is smaller than the sum of its proper divisors (3762160816160).

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

2104414023040 is a wasteful number, since it uses less digits than its factorization.

2104414023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164513 (or 164494 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2104414023040 its reverse (403204144012), we get a palindrome (2507618167052).

The spelling of 2104414023040 in words is "two trillion, one hundred four billion, four hundred fourteen million, twenty-three thousand, forty".