10412042011000 has 64 divisors (see below), whose sum is σ = 27844775225280. Its totient is φ = 3569842972800.

The previous prime is 10412042010991. The next prime is 10412042011009. The reversal of 10412042011000 is 11024021401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10412042010991) and next prime (10412042011009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412042011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743710287 + ... + 743724286.

It is an arithmetic number, because the mean of its divisors is an integer number (435074612895).

Almost surely, 2^{10412042011000} is an apocalyptic number.

10412042011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412042011000 is an abundant number, since it is smaller than the sum of its proper divisors (17432733214280).

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

10412042011000 is a wasteful number, since it uses less digits than its factorization.

10412042011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487434601 (or 1487434587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10412042011000 its reverse (11024021401), we get a palindrome (10423066032401).

The spelling of 10412042011000 in words is "ten trillion, four hundred twelve billion, forty-two million, eleven thousand".