10235111040 has 768 divisors, whose sum is σ = 45093335040. Its totient is φ = 2077286400.

The previous prime is 10235111023. The next prime is 10235111093. The reversal of 10235111040 is 4011153201.

10235111040 is a `hidden beast` number, since 102 + 3 + 511 + 10 + 40 = 666.

It is a super-2 number, since 2×10235111040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20845195 + ... + 20845685.

It is an arithmetic number, because the mean of its divisors is an integer number (58715280).

Almost surely, 2^10235111040 is an apocalyptic number.

10235111040 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 10235111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22546667520).

10235111040 is an abundant number, since it is smaller than the sum of its proper divisors (34858224000).

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

10235111040 is a wasteful number, since it uses less digits than its factorization.

10235111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10235111040 its reverse (4011153201), we get a palindrome (14246264241).

The spelling of 10235111040 in words is "ten billion, two hundred thirty-five million, one hundred eleven thousand, forty".