10440414203340 has 384 divisors, whose sum is σ = 32289076915200. Its totient is φ = 2499668213760.

The previous prime is 10440414203327. The next prime is 10440414203369. The reversal of 10440414203340 is 4330241404401.

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 = 10440414203298 and 10440414203307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18348706576 + ... + 18348707144.

It is an arithmetic number, because the mean of its divisors is an integer number (84086137800).

Almost surely, 2^{10440414203340} is an apocalyptic number.

10440414203340 is a gapful number since it is divisible by the number (10) 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 10440414203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144538457600).

10440414203340 is an abundant number, since it is smaller than the sum of its proper divisors (21848662711860).

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

10440414203340 is a wasteful number, since it uses less digits than its factorization.

10440414203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10440414203340 its reverse (4330241404401), we get a palindrome (14770655607741).

The spelling of 10440414203340 in words is "ten trillion, four hundred forty billion, four hundred fourteen million, two hundred three thousand, three hundred forty".