10400121419 has 8 divisors (see below), whose sum is σ = 10438549968. Its totient is φ = 10361723040.

The previous prime is 10400121401. The next prime is 10400121437. The reversal of 10400121419 is 91412100401.

10400121419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10400121401) and next prime (10400121437).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400121419 is a prime.

It is a super-2 number, since 2×10400121419² (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 = 10400121394 and 10400121403.

It is not an unprimeable number, because it can be changed into a prime (10400121469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864989 + ... + 876929.

It is an arithmetic number, because the mean of its divisors is an integer number (1304818746).

Almost surely, 2^10400121419 is an apocalyptic number.

10400121419 is a deficient number, since it is larger than the sum of its proper divisors (38428549).

10400121419 is a wasteful number, since it uses less digits than its factorization.

10400121419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10400121419 in words is "ten billion, four hundred million, one hundred twenty-one thousand, four hundred nineteen".