4256877240 has 640 divisors, whose sum is σ = 18115384320. Its totient is φ = 870912000.

The previous prime is 4256877239. The next prime is 4256877263. The reversal of 4256877240 is 427786524.

It is a happy number.

4256877240 is a `hidden beast` number, since 42 + 568 + 7 + 7 + 2 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 28191165 + ... + 28191315.

It is an arithmetic number, because the mean of its divisors is an integer number (28305288).

Almost surely, 2^4256877240 is an apocalyptic number.

4256877240 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 4256877240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057692160).

4256877240 is an abundant number, since it is smaller than the sum of its proper divisors (13858507080).

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

4256877240 is a wasteful number, since it uses less digits than its factorization.

4256877240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4256877240 is about 65244.7487542101. The cubic root of 4256877240 is about 1620.6791391187.

The spelling of 4256877240 in words is "four billion, two hundred fifty-six million, eight hundred seventy-seven thousand, two hundred forty".