10305111040 has 176 divisors, whose sum is σ = 28382621184. Its totient is φ = 3516825600.

The previous prime is 10305111013. The next prime is 10305111071. The reversal of 10305111040 is 4011150301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9712110 + ... + 9713170.

Almost surely, 2^10305111040 is an apocalyptic number.

10305111040 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 10305111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191310592).

10305111040 is an abundant number, since it is smaller than the sum of its proper divisors (18077510144).

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

10305111040 is a wasteful number, since it uses less digits than its factorization.

10305111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10305111040 its reverse (4011150301), we get a palindrome (14316261341).

The spelling of 10305111040 in words is "ten billion, three hundred five million, one hundred eleven thousand, forty".