10405042001120 has 96 divisors (see below), whose sum is σ = 26477207890560. Its totient is φ = 3841226035200.

The previous prime is 10405042001099. The next prime is 10405042001149. The reversal of 10405042001120 is 2110024050401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10405042001092 and 10405042001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12254345 + ... + 13075895.

It is an arithmetic number, because the mean of its divisors is an integer number (275804248860).

Almost surely, 2^{10405042001120} is an apocalyptic number.

10405042001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405042001120 is an abundant number, since it is smaller than the sum of its proper divisors (16072165889440).

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

10405042001120 is a wasteful number, since it uses less digits than its factorization.

10405042001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827668 (or 827660 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10405042001120 its reverse (2110024050401), we get a palindrome (12515066051521).

The spelling of 10405042001120 in words is "ten trillion, four hundred five billion, forty-two million, one thousand, one hundred twenty".