10845136440 has 128 divisors (see below), whose sum is σ = 36189172800. Its totient is φ = 2888939520.

The previous prime is 10845136439. The next prime is 10845136453. The reversal of 10845136440 is 4463154801.

10845136440 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 5 + 1 + 3 + 644 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 10845136395 and 10845136404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110780 + ... + 1120500.

Almost surely, 2^10845136440 is an apocalyptic number.

10845136440 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 10845136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094586400).

10845136440 is an abundant number, since it is smaller than the sum of its proper divisors (25344036360).

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

10845136440 is a wasteful number, since it uses less digits than its factorization.

10845136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10845136440 in words is "ten billion, eight hundred forty-five million, one hundred thirty-six thousand, four hundred forty".