10040490432 has 630 divisors, whose sum is σ = 36620421552. Its totient is φ = 2710858752.

The previous prime is 10040490409. The next prime is 10040490433. The reversal of 10040490432 is 23409404001.

10040490432 is a `hidden beast` number, since 100 + 40 + 4 + 90 + 432 = 666.

10040490432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10040490432² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10040490396 and 10040490405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040490433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 213627433 + ... + 213627479.

Almost surely, 2^10040490432 is an apocalyptic number.

10040490432 is a gapful number since it is divisible by the number (12) 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 10040490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18310210776).

10040490432 is an abundant number, since it is smaller than the sum of its proper divisors (26579931120).

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

10040490432 is an equidigital number, since it uses as much as digits as its factorization.

10040490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10040490432 its reverse (23409404001), we get a palindrome (33449894433).

The spelling of 10040490432 in words is "ten billion, forty million, four hundred ninety thousand, four hundred thirty-two".