10457044899840 has 2304 divisors, whose sum is σ = 47805404774400. Its totient is φ = 2049579417600.

The previous prime is 10457044899811. The next prime is 10457044899853. The reversal of 10457044899840 is 4899844075401.

10457044899840 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 70 + 4 + 489 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12894013035 + ... + 12894013845.

It is an arithmetic number, because the mean of its divisors is an integer number (20748873600).

Almost surely, 2^{10457044899840} is an apocalyptic number.

10457044899840 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 10457044899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902702387200).

10457044899840 is an abundant number, since it is smaller than the sum of its proper divisors (37348359874560).

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

10457044899840 is a wasteful number, since it uses less digits than its factorization.

10457044899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 10457044899840 in words is "ten trillion, four hundred fifty-seven billion, forty-four million, eight hundred ninety-nine thousand, eight hundred forty".