10454521140 has 144 divisors (see below), whose sum is σ = 37013663232. Its totient is φ = 2338748928.

The previous prime is 10454521139. The next prime is 10454521151. The reversal of 10454521140 is 4112545401.

10454521140 is a `hidden beast` number, since 1 + 0 + 4 + 545 + 2 + 114 + 0 = 666.

10454521140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29049 + ... + 147488.

It is an arithmetic number, because the mean of its divisors is an integer number (257039328).

Almost surely, 2^10454521140 is an apocalyptic number.

10454521140 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 10454521140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506831616).

10454521140 is an abundant number, since it is smaller than the sum of its proper divisors (26559142092).

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

10454521140 is a wasteful number, since it uses less digits than its factorization.

10454521140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176606 (or 176601 counting only the distinct ones).

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

The spelling of 10454521140 in words is "ten billion, four hundred fifty-four million, five hundred twenty-one thousand, one hundred forty".