10011011040 has 144 divisors (see below), whose sum is σ = 35264750976. Its totient is φ = 2583475200.

The previous prime is 10011010973. The next prime is 10011011047. The reversal of 10011011040 is 4011011001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67491 + ... + 156770.

It is an arithmetic number, because the mean of its divisors is an integer number (244894104).

Almost surely, 2^10011011040 is an apocalyptic number.

10011011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011011040 is an abundant number, since it is smaller than the sum of its proper divisors (25253739936).

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

10011011040 is a wasteful number, since it uses less digits than its factorization.

10011011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224313 (or 224302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011011040 its reverse (4011011001), we get a palindrome (14022022041).

The spelling of 10011011040 in words is "ten billion, eleven million, eleven thousand, forty".