10532400040 has 64 divisors (see below), whose sum is σ = 24679157760. Its totient is φ = 4040924160.

The previous prime is 10532399987. The next prime is 10532400049. The reversal of 10532400040 is 4000423501.

It is a super-2 number, since 2×10532400040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10532399990 and 10532400017.

It is not an unprimeable number, because it can be changed into a prime (10532400049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102537 + ... + 177703.

It is an arithmetic number, because the mean of its divisors is an integer number (385611840).

Almost surely, 2^10532400040 is an apocalyptic number.

10532400040 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 10532400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339578880).

10532400040 is an abundant number, since it is smaller than the sum of its proper divisors (14146757720).

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

10532400040 is a wasteful number, since it uses less digits than its factorization.

10532400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75322 (or 75318 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 10532400040 its reverse (4000423501), we get a palindrome (14532823541).

The spelling of 10532400040 in words is "ten billion, five hundred thirty-two million, four hundred thousand, forty".