10457121444 has 96 divisors (see below), whose sum is σ = 30533701632. Its totient is φ = 2706048000.

The previous prime is 10457121431. The next prime is 10457121491. The reversal of 10457121444 is 44412175401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229524 + ... + 271284.

It is an arithmetic number, because the mean of its divisors is an integer number (318059392).

Almost surely, 2^10457121444 is an apocalyptic number.

10457121444 is a gapful number since it is divisible by the number (14) 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 10457121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266850816).

10457121444 is an abundant number, since it is smaller than the sum of its proper divisors (20076580188).

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

10457121444 is a wasteful number, since it uses less digits than its factorization.

10457121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42057 (or 42055 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

Adding to 10457121444 its reverse (44412175401), we get a palindrome (54869296845).

The spelling of 10457121444 in words is "ten billion, four hundred fifty-seven million, one hundred twenty-one thousand, four hundred forty-four".