10400121413 has 8 divisors (see below), whose sum is σ = 11586983040. Its totient is φ = 9253492480.

The previous prime is 10400121401. The next prime is 10400121437. The reversal of 10400121413 is 31412100401.

It is a happy number.

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 10400121413 - 2⁶ = 10400121349 is a prime.

It is a super-2 number, since 2×10400121413² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400121391 and 10400121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400121463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10057628 + ... + 10058661.

It is an arithmetic number, because the mean of its divisors is an integer number (1448372880).

Almost surely, 2^10400121413 is an apocalyptic number.

It is an amenable number.

10400121413 is a deficient number, since it is larger than the sum of its proper divisors (1186861627).

10400121413 is a wasteful number, since it uses less digits than its factorization.

10400121413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20116347.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10400121413 its reverse (31412100401), we get a palindrome (41812221814).

The spelling of 10400121413 in words is "ten billion, four hundred million, one hundred twenty-one thousand, four hundred thirteen".