10400003401 has 8 divisors (see below), whose sum is σ = 10688950080. Its totient is φ = 10111470768.

The previous prime is 10400003389. The next prime is 10400003407. The reversal of 10400003401 is 10430000401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10400003401 - 2¹⁹ = 10399479113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400003407) 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 7 ways as a sum of consecutive naturals, for example, 52231 + ... + 153388.

It is an arithmetic number, because the mean of its divisors is an integer number (1336118760).

Almost surely, 2^10400003401 is an apocalyptic number.

It is an amenable number.

10400003401 is a deficient number, since it is larger than the sum of its proper divisors (288946679).

10400003401 is a wasteful number, since it uses less digits than its factorization.

10400003401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207023.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10400003401 its reverse (10430000401), we get a palindrome (20830003802).

It can be divided in two parts, 1040000 and 3401, that added together give a palindrome (1043401).

The spelling of 10400003401 in words is "ten billion, four hundred million, three thousand, four hundred one".