10514090714400 has 576 divisors, whose sum is σ = 46801192032000. Its totient is φ = 2218357186560.

The previous prime is 10514090714381. The next prime is 10514090714483. The reversal of 10514090714400 is 441709041501.

10514090714400 is a `hidden beast` number, since 1 + 0 + 5 + 140 + 9 + 0 + 71 + 440 + 0 = 666.

It is a super-2 number, since 2×10514090714400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708925 + ... + 4640124.

It is an arithmetic number, because the mean of its divisors is an integer number (81252069500).

Almost surely, 2^{10514090714400} is an apocalyptic number.

10514090714400 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 10514090714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400596016000).

10514090714400 is an abundant number, since it is smaller than the sum of its proper divisors (36287101317600).

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

10514090714400 is a wasteful number, since it uses less digits than its factorization.

10514090714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349098 (or 5349079 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 10514090714400 its reverse (441709041501), we get a palindrome (10955799755901).

The spelling of 10514090714400 in words is "ten trillion, five hundred fourteen billion, ninety million, seven hundred fourteen thousand, four hundred".