10861633440 has 672 divisors, whose sum is σ = 44977597056. Its totient is φ = 2426112000.

The previous prime is 10861633429. The next prime is 10861633441. The reversal of 10861633440 is 4433616801.

It is a happy number.

10861633440 is a `hidden beast` number, since 1 + 0 + 8 + 616 + 3 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10861633395 and 10861633404.

It is not an unprimeable number, because it can be changed into a prime (10861633441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43273315 + ... + 43273565.

It is an arithmetic number, because the mean of its divisors is an integer number (66930948).

Almost surely, 2^10861633440 is an apocalyptic number.

10861633440 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 10861633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22488798528).

10861633440 is an abundant number, since it is smaller than the sum of its proper divisors (34115963616).

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

10861633440 is an equidigital number, since it uses as much as digits as its factorization.

10861633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10861633440 in words is "ten billion, eight hundred sixty-one million, six hundred thirty-three thousand, four hundred forty".