5514256440 has 960 divisors, whose sum is σ = 24914926080. Its totient is φ = 1060646400.

The previous prime is 5514256379. The next prime is 5514256441. The reversal of 5514256440 is 446524155.

5514256440 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 2 + 5 + 644 + 0 = 666.

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 = 5514256395 and 5514256404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5514256441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177879225 + ... + 177879255.

It is an arithmetic number, because the mean of its divisors is an integer number (25953048).

Almost surely, 2^5514256440 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 5514256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457463040).

5514256440 is an abundant number, since it is smaller than the sum of its proper divisors (19400669640).

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

5514256440 is a wasteful number, since it uses less digits than its factorization.

5514256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5514256440 is about 74258.0395647502. The cubic root of 5514256440 is about 1766.6980093328.

The spelling of 5514256440 in words is "five billion, five hundred fourteen million, two hundred fifty-six thousand, four hundred forty".