10451314124400 has 60 divisors (see below), whose sum is σ = 33479042915672. Its totient is φ = 2787017099520.

The previous prime is 10451314124357. The next prime is 10451314124401. The reversal of 10451314124400 is 442141315401.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10451314124401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4354713019 + ... + 4354715418.

Almost surely, 2^{10451314124400} is an apocalyptic number.

10451314124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10451314124400 is an abundant number, since it is smaller than the sum of its proper divisors (23027728791272).

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

10451314124400 is a wasteful number, since it uses less digits than its factorization.

10451314124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709428458 (or 8709428447 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10451314124400 its reverse (442141315401), we get a palindrome (10893455439801).

The spelling of 10451314124400 in words is "ten trillion, four hundred fifty-one billion, three hundred fourteen million, one hundred twenty-four thousand, four hundred".