10044351242400 has 648 divisors, whose sum is σ = 34186305436416. Its totient is φ = 2561443200000.

The previous prime is 10044351242327. The next prime is 10044351242449. The reversal of 10044351242400 is 424215344001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52588226305 + ... + 52588226495.

It is an arithmetic number, because the mean of its divisors is an integer number (52756644192).

Almost surely, 2^{10044351242400} is an apocalyptic number.

10044351242400 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 10044351242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093152718208).

10044351242400 is an abundant number, since it is smaller than the sum of its proper divisors (24141954194016).

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

10044351242400 is a wasteful number, since it uses less digits than its factorization.

10044351242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10044351242400 its reverse (424215344001), we get a palindrome (10468566586401).

The spelling of 10044351242400 in words is "ten trillion, forty-four billion, three hundred fifty-one million, two hundred forty-two thousand, four hundred".