10453825437440 has 288 divisors, whose sum is σ = 31225889608704. Its totient is φ = 3257608273920.

The previous prime is 10453825437427. The next prime is 10453825437463. The reversal of 10453825437440 is 4473452835401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 592041092 + ... + 592058748.

It is an arithmetic number, because the mean of its divisors is an integer number (108423227808).

Almost surely, 2^{10453825437440} is an apocalyptic number.

10453825437440 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 10453825437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612944804352).

10453825437440 is an abundant number, since it is smaller than the sum of its proper divisors (20772064171264).

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

10453825437440 is a wasteful number, since it uses less digits than its factorization.

10453825437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703 (or 23689 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 50.

The spelling of 10453825437440 in words is "ten trillion, four hundred fifty-three billion, eight hundred twenty-five million, four hundred thirty-seven thousand, four hundred forty".