10400315064321 has 128 divisors (see below), whose sum is σ = 17965837274112. Its totient is φ = 5204570112000.

The previous prime is 10400315064319. The next prime is 10400315064329. The reversal of 10400315064321 is 12346051300401.

It is not a de Polignac number, because 10400315064321 - 2¹ = 10400315064319 is a prime.

It is a super-3 number, since 3×10400315064321³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10400315064329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 894952891 + ... + 894964511.

It is an arithmetic number, because the mean of its divisors is an integer number (140358103704).

Almost surely, 2^{10400315064321} is an apocalyptic number.

It is an amenable number.

10400315064321 is a deficient number, since it is larger than the sum of its proper divisors (7565522209791).

10400315064321 is a wasteful number, since it uses less digits than its factorization.

10400315064321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10400315064321 its reverse (12346051300401), we get a palindrome (22746366364722).

The spelling of 10400315064321 in words is "ten trillion, four hundred billion, three hundred fifteen million, sixty-four thousand, three hundred twenty-one".