10511013440 has 56 divisors (see below), whose sum is σ = 25277243832. Its totient is φ = 4162764800.

The previous prime is 10511013377. The next prime is 10511013463. The reversal of 10511013440 is 4431011501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1010222656 + 9500790784 = 31784^2 + 97472^2 .

It is a super-2 number, since 2×10511013440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130289 + ... + 194928.

Almost surely, 2^10511013440 is an apocalyptic number.

10511013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10511013440 is an abundant number, since it is smaller than the sum of its proper divisors (14766230392).

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

10511013440 is a wasteful number, since it uses less digits than its factorization.

10511013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325335 (or 325325 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10511013440 its reverse (4431011501), we get a palindrome (14942024941).

The spelling of 10511013440 in words is "ten billion, five hundred eleven million, thirteen thousand, four hundred forty".