10400011020345 has 16 divisors (see below), whose sum is σ = 16701876440640. Its totient is φ = 5526052941504.

The previous prime is 10400011020319. The next prime is 10400011020403. The reversal of 10400011020345 is 54302011000401.

It is not a de Polignac number, because 10400011020345 - 2⁶ = 10400011020281 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288720999 + ... + 1288729068.

It is an arithmetic number, because the mean of its divisors is an integer number (1043867277540).

Almost surely, 2^{10400011020345} is an apocalyptic number.

10400011020345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10400011020345 is a deficient number, since it is larger than the sum of its proper divisors (6301865420295).

10400011020345 is a wasteful number, since it uses less digits than its factorization.

10400011020345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577450344.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10400011020345 its reverse (54302011000401), we get a palindrome (64702022020746).

The spelling of 10400011020345 in words is "ten trillion, four hundred billion, eleven million, twenty thousand, three hundred forty-five".