10400340401 has 16 divisors (see below), whose sum is σ = 11461201920. Its totient is φ = 9358854480.

The previous prime is 10400340371. The next prime is 10400340409. The reversal of 10400340401 is 10404300401.

It is a cyclic number.

It is not a de Polignac number, because 10400340401 - 2⁶ = 10400340337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400340401.

It is not an unprimeable number, because it can be changed into a prime (10400340409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841540 + ... + 1847178.

It is an arithmetic number, because the mean of its divisors is an integer number (716325120).

Almost surely, 2^10400340401 is an apocalyptic number.

10400340401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10400340401 is a deficient number, since it is larger than the sum of its proper divisors (1060861519).

10400340401 is a wasteful number, since it uses less digits than its factorization.

10400340401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10400340401 its reverse (10404300401), we get a palindrome (20804640802).

The spelling of 10400340401 in words is "ten billion, four hundred million, three hundred forty thousand, four hundred one".