10400401203311 has 16 divisors (see below), whose sum is σ = 12027532812288. Its totient is φ = 8809227792000.

The previous prime is 10400401203307. The next prime is 10400401203317. The reversal of 10400401203311 is 11330210400401.

It is a cyclic number.

It is not a de Polignac number, because 10400401203311 - 2² = 10400401203307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400401203317) 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, 25556090 + ... + 25959863.

It is an arithmetic number, because the mean of its divisors is an integer number (751720800768).

Almost surely, 2^{10400401203311} is an apocalyptic number.

10400401203311 is a deficient number, since it is larger than the sum of its proper divisors (1627131608977).

10400401203311 is a wasteful number, since it uses less digits than its factorization.

10400401203311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51516302.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10400401203311 its reverse (11330210400401), we get a palindrome (21730611603712).

The spelling of 10400401203311 in words is "ten trillion, four hundred billion, four hundred one million, two hundred three thousand, three hundred eleven".