10436655840 has 144 divisors (see below), whose sum is σ = 35599153968. Its totient is φ = 2569003008.

The previous prime is 10436655763. The next prime is 10436655857. The reversal of 10436655840 is 4855663401.

It is a super-2 number, since 2×10436655840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10436655792 and 10436655801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16792 + ... + 145448.

It is an arithmetic number, because the mean of its divisors is an integer number (247216347).

Almost surely, 2^10436655840 is an apocalyptic number.

10436655840 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 10436655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799576984).

10436655840 is an abundant number, since it is smaller than the sum of its proper divisors (25162498128).

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

10436655840 is a wasteful number, since it uses less digits than its factorization.

10436655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128701 (or 128680 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 10436655840 in words is "ten billion, four hundred thirty-six million, six hundred fifty-five thousand, eight hundred forty".