10514503434240 has 1152 divisors, whose sum is σ = 41235555271680. Its totient is φ = 2525616930816.

The previous prime is 10514503434233. The next prime is 10514503434251. The reversal of 10514503434240 is 4243430541501.

10514503434240 is a `hidden beast` number, since 10 + 5 + 14 + 50 + 343 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10514503434240² (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 = 10514503434195 and 10514503434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9891347949 + ... + 9891349011.

It is an arithmetic number, because the mean of its divisors is an integer number (35794752840).

Almost surely, 2^{10514503434240} is an apocalyptic number.

10514503434240 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 10514503434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617777635840).

10514503434240 is an abundant number, since it is smaller than the sum of its proper divisors (30721051837440).

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

10514503434240 is an equidigital number, since it uses as much as digits as its factorization.

10514503434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10514503434240 its reverse (4243430541501), we get a palindrome (14757933975741).

The spelling of 10514503434240 in words is "ten trillion, five hundred fourteen billion, five hundred three million, four hundred thirty-four thousand, two hundred forty".