10400214210004 has 24 divisors (see below), whose sum is σ = 18271725290280. Its totient is φ = 5179722448896.

The previous prime is 10400214209933. The next prime is 10400214210011. The reversal of 10400214210004 is 40001241200401.

It can be written as a sum of positive squares in 4 ways, for example, as 9077277173904 + 1322937036100 = 3012852^2 + 1150190^2 .

It is a super-2 number, since 2×10400214210004² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40693464 + ... + 40948240.

It is an arithmetic number, because the mean of its divisors is an integer number (761321887095).

Almost surely, 2^{10400214210004} is an apocalyptic number.

It is an amenable number.

10400214210004 is a deficient number, since it is larger than the sum of its proper divisors (7871511080276).

10400214210004 is a wasteful number, since it uses less digits than its factorization.

10400214210004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294747 (or 294745 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10400214210004 its reverse (40001241200401), we get a palindrome (50401455410405).

The spelling of 10400214210004 in words is "ten trillion, four hundred billion, two hundred fourteen million, two hundred ten thousand, four".