1040005200410 has 192 divisors, whose sum is σ = 2167815052800. Its totient is φ = 355785830400.

The previous prime is 1040005200397. The next prime is 1040005200419. The reversal of 1040005200410 is 140025000401.

1040005200410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1040005200410² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040005200419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1996170950 + ... + 1996171470.

It is an arithmetic number, because the mean of its divisors is an integer number (11290703400).

Almost surely, 2^{1040005200410} is an apocalyptic number.

1040005200410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1040005200410 is an abundant number, since it is smaller than the sum of its proper divisors (1127809852390).

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

1040005200410 is a wasteful number, since it uses less digits than its factorization.

1040005200410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 1040005200410 in words is "one trillion, forty billion, five million, two hundred thousand, four hundred ten".