10049937408 has 224 divisors, whose sum is σ = 34034699520. Its totient is φ = 2870968320.

The previous prime is 10049937407. The next prime is 10049937437. The reversal of 10049937408 is 80473994001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049937407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545043 + ... + 1551533.

Almost surely, 2^10049937408 is an apocalyptic number.

10049937408 is a gapful number since it is divisible by the number (18) 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 10049937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017349760).

10049937408 is an abundant number, since it is smaller than the sum of its proper divisors (23984762112).

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

10049937408 is an frugal number, since it uses more digits than its factorization.

10049937408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10049937408 in words is "ten billion, forty-nine million, nine hundred thirty-seven thousand, four hundred eight".