10214234406560 has 48 divisors (see below), whose sum is σ = 24131975868000. Its totient is φ = 4085550341376.

The previous prime is 10214234406479. The next prime is 10214234406611. The reversal of 10214234406560 is 6560443241201.

It is a super-3 number, since 3×10214234406560³ (a number of 40 digits) contains 333 as substring.

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, 3511391 + ... + 5723489.

It is an arithmetic number, because the mean of its divisors is an integer number (502749497250).

Almost surely, 2^{10214234406560} is an apocalyptic number.

10214234406560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214234406560 is an abundant number, since it is smaller than the sum of its proper divisors (13917741461440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10214234406560 is a wasteful number, since it uses less digits than its factorization.

10214234406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240973 (or 2240965 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 10214234406560 its reverse (6560443241201), we get a palindrome (16774677647761).

The spelling of 10214234406560 in words is "ten trillion, two hundred fourteen billion, two hundred thirty-four million, four hundred six thousand, five hundred sixty".