10493091840 has 448 divisors, whose sum is σ = 41898539520. Its totient is φ = 2178416640.

The previous prime is 10493091793. The next prime is 10493091881. The reversal of 10493091840 is 4819039401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10493091840² (a number of 21 digits) contains 22 as substring.

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, 9461206 + ... + 9462314.

Almost surely, 2^10493091840 is an apocalyptic number.

10493091840 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 10493091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20949269760).

10493091840 is an abundant number, since it is smaller than the sum of its proper divisors (31405447680).

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

10493091840 is a wasteful number, since it uses less digits than its factorization.

10493091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10493091840 in words is "ten billion, four hundred ninety-three million, ninety-one thousand, eight hundred forty".