10049773440 has 256 divisors, whose sum is σ = 37792419840. Its totient is φ = 2222899200.

The previous prime is 10049773427. The next prime is 10049773457. The reversal of 10049773440 is 4437794001.

It is a congruent number.

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, 404580 + ... + 428700.

It is an arithmetic number, because the mean of its divisors is an integer number (147626640).

Almost surely, 2^10049773440 is an apocalyptic number.

10049773440 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 10049773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896209920).

10049773440 is an abundant number, since it is smaller than the sum of its proper divisors (27742646400).

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

10049773440 is a wasteful number, since it uses less digits than its factorization.

10049773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24169 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10049773440 in words is "ten billion, forty-nine million, seven hundred seventy-three thousand, four hundred forty".