10504121437440 has 1728 divisors, whose sum is σ = 41101673598720. Its totient is φ = 2538036264960.

The previous prime is 10504121437391. The next prime is 10504121437493. The reversal of 10504121437440 is 4473412140501.

10504121437440 is a `hidden beast` number, since 1 + 0 + 50 + 4 + 121 + 43 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10504121437440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10504121437395 and 10504121437404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46273662607 + ... + 46273662833.

It is an arithmetic number, because the mean of its divisors is an integer number (23785690740).

Almost surely, 2^{10504121437440} is an apocalyptic number.

10504121437440 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 10504121437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550836799360).

10504121437440 is an abundant number, since it is smaller than the sum of its proper divisors (30597552161280).

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

10504121437440 is a wasteful number, since it uses less digits than its factorization.

10504121437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 10504121437440 its reverse (4473412140501), we get a palindrome (14977533577941).

The spelling of 10504121437440 in words is "ten trillion, five hundred four billion, one hundred twenty-one million, four hundred thirty-seven thousand, four hundred forty".