10393468525440 has 5760 divisors, whose sum is σ = 53390804797440. Its totient is φ = 1902071808000.

The previous prime is 10393468525411. The next prime is 10393468525441. The reversal of 10393468525440 is 4452586439301.

It is a happy number.

10393468525440 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 3 + 46 + 8 + 52 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10393468525441) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 146386880605 + ... + 146386880675.

It is an arithmetic number, because the mean of its divisors is an integer number (9269236944).

Almost surely, 2^{10393468525440} is an apocalyptic number.

10393468525440 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 10393468525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26695402398720).

10393468525440 is an abundant number, since it is smaller than the sum of its proper divisors (42997336272000).

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

10393468525440 is a wasteful number, since it uses less digits than its factorization.

10393468525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 10393468525440 in words is "ten trillion, three hundred ninety-three billion, four hundred sixty-eight million, five hundred twenty-five thousand, four hundred forty".