10011431040 has 256 divisors, whose sum is σ = 35553772800. Its totient is φ = 2379202560.

The previous prime is 10011431039. The next prime is 10011431047. The reversal of 10011431040 is 4013411001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10011431047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716925 + ... + 730755.

It is an arithmetic number, because the mean of its divisors is an integer number (138881925).

Almost surely, 2^10011431040 is an apocalyptic number.

10011431040 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 10011431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400).

10011431040 is an abundant number, since it is smaller than the sum of its proper divisors (25542341760).

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

10011431040 is a wasteful number, since it uses less digits than its factorization.

10011431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13895 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10011431040 its reverse (4013411001), we get a palindrome (14024842041).

The spelling of 10011431040 in words is "ten billion, eleven million, four hundred thirty-one thousand, forty".