11400577344 has 168 divisors, whose sum is σ = 36143361800. Its totient is φ = 3412979712.

The previous prime is 11400577337. The next prime is 11400577361. The reversal of 11400577344 is 44377500411.

11400577344 is a `hidden beast` number, since 1 + 1 + 40 + 0 + 577 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 435974400 + 10964602944 = 20880^2 + 104712^2 .

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 = 11400577299 and 11400577308.

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, 256482 + ... + 297630.

Almost surely, 2^11400577344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071680900).

11400577344 is an abundant number, since it is smaller than the sum of its proper divisors (24742784456).

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

11400577344 is a wasteful number, since it uses less digits than its factorization.

11400577344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41217 (or 41204 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 11400577344 in words is "eleven billion, four hundred million, five hundred seventy-seven thousand, three hundred forty-four".