2034410404440 has 192 divisors, whose sum is σ = 6395437036800. Its totient is φ = 517676828416.

The previous prime is 2034410404423. The next prime is 2034410404451. The reversal of 2034410404440 is 444040144302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2034410404398 and 2034410404407.

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, 26559877 + ... + 26636363.

It is an arithmetic number, because the mean of its divisors is an integer number (33309567900).

Almost surely, 2^{2034410404440} is an apocalyptic number.

2034410404440 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 2034410404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197718518400).

2034410404440 is an abundant number, since it is smaller than the sum of its proper divisors (4361026632360).

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

2034410404440 is a wasteful number, since it uses less digits than its factorization.

2034410404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76966 (or 76939 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2034410404440 its reverse (444040144302), we get a palindrome (2478450548742).

The spelling of 2034410404440 in words is "two trillion, thirty-four billion, four hundred ten million, four hundred four thousand, four hundred forty".