10312343546400 has 432 divisors, whose sum is σ = 41566137971904. Its totient is φ = 2356687779840.

The previous prime is 10312343546381. The next prime is 10312343546429. The reversal of 10312343546400 is 464534321301.

10312343546400 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 3 + 4 + 3 + 5 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 350114074 + ... + 350143526.

It is an arithmetic number, because the mean of its divisors is an integer number (96217911972).

Almost surely, 2^{10312343546400} is an apocalyptic number.

10312343546400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312343546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20783068985952).

10312343546400 is an abundant number, since it is smaller than the sum of its proper divisors (31253794425504).

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

10312343546400 is a wasteful number, since it uses less digits than its factorization.

10312343546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36433 (or 36417 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10312343546400 its reverse (464534321301), we get a palindrome (10776877867701).

The spelling of 10312343546400 in words is "ten trillion, three hundred twelve billion, three hundred forty-three million, five hundred forty-six thousand, four hundred".