4531646126400 has 168 divisors, whose sum is σ = 15742139224320. Its totient is φ = 1137354301440.

The previous prime is 4531646126393. The next prime is 4531646126443. The reversal of 4531646126400 is 46216461354.

It is a super-2 number, since 2×4531646126400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27685840 + ... + 27849039.

Almost surely, 2^{4531646126400} is an apocalyptic number.

4531646126400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531646126400 is an abundant number, since it is smaller than the sum of its proper divisors (11210493097920).

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

4531646126400 is a wasteful number, since it uses less digits than its factorization.

4531646126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55534921 (or 55534906 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 4531646126400 in words is "four trillion, five hundred thirty-one billion, six hundred forty-six million, one hundred twenty-six thousand, four hundred".