10240005054400 has 336 divisors, whose sum is σ = 27783608306688. Its totient is φ = 3683593728000.

The previous prime is 10240005054319. The next prime is 10240005054407. The reversal of 10240005054400 is 445050004201.

It is a happy number.

10240005054400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240005054407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140914409 + ... + 2140919191.

Almost surely, 2^{10240005054400} is an apocalyptic number.

10240005054400 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 10240005054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891804153344).

10240005054400 is an abundant number, since it is smaller than the sum of its proper divisors (17543603252288).

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

10240005054400 is a wasteful number, since it uses less digits than its factorization.

10240005054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 10240005054400 its reverse (445050004201), we get a palindrome (10685055058601).

The spelling of 10240005054400 in words is "ten trillion, two hundred forty billion, five million, fifty-four thousand, four hundred".