10540451412000 has 288 divisors, whose sum is σ = 37471864719744. Its totient is φ = 2805993024000.

The previous prime is 10540451411983. The next prime is 10540451412031. The reversal of 10540451412000 is 21415404501.

10540451412000 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 451 + 4 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10540451412000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20882605 + ... + 21381395.

It is an arithmetic number, because the mean of its divisors is an integer number (130110641388).

Almost surely, 2^{10540451412000} is an apocalyptic number.

10540451412000 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 10540451412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735932359872).

10540451412000 is an abundant number, since it is smaller than the sum of its proper divisors (26931413307744).

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

10540451412000 is a wasteful number, since it uses less digits than its factorization.

10540451412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499409 (or 499388 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10540451412000 its reverse (21415404501), we get a palindrome (10561866816501).

The spelling of 10540451412000 in words is "ten trillion, five hundred forty billion, four hundred fifty-one million, four hundred twelve thousand".