10241215124400 has 720 divisors, whose sum is σ = 40145516314176. Its totient is φ = 2398767022080.

The previous prime is 10241215124263. The next prime is 10241215124467. The reversal of 10241215124400 is 442151214201.

10241215124400 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 215 + 1 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×10241215124400³ (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 143 ways as a sum of consecutive naturals, for example, 207720552 + ... + 207769848.

Almost surely, 2^{10241215124400} is an apocalyptic number.

10241215124400 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 10241215124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072758157088).

10241215124400 is an abundant number, since it is smaller than the sum of its proper divisors (29904301189776).

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

10241215124400 is a wasteful number, since it uses less digits than its factorization.

10241215124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49550 (or 49536 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10241215124400 its reverse (442151214201), we get a palindrome (10683366338601).

The spelling of 10241215124400 in words is "ten trillion, two hundred forty-one billion, two hundred fifteen million, one hundred twenty-four thousand, four hundred".