4278637440 has 576 divisors, whose sum is σ = 18581078880. Its totient is φ = 888053760.

The previous prime is 4278637411. The next prime is 4278637457. The reversal of 4278637440 is 447368724.

4278637440 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 637 + 4 + 4 + 0 = 666.

4278637440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4878282 + ... + 4879158.

Almost surely, 2^4278637440 is an apocalyptic number.

4278637440 is a gapful number since it is divisible by the number (40) 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 4278637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290539440).

4278637440 is an abundant number, since it is smaller than the sum of its proper divisors (14302441440).

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

4278637440 is a wasteful number, since it uses less digits than its factorization.

4278637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 4278637440 is about 65411.2944375816. The cubic root of 4278637440 is about 1623.4359628929.

The spelling of 4278637440 in words is "four billion, two hundred seventy-eight million, six hundred thirty-seven thousand, four hundred forty".