4256480067840 has 4608 divisors, whose sum is σ = 21625454592000. Its totient is φ = 790091366400.

The previous prime is 4256480067811. The next prime is 4256480067869. The reversal of 4256480067840 is 487600846524.

It is a happy number.

4256480067840 is a `hidden beast` number, since 4 + 2 + 56 + 480 + 0 + 6 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4256480067811) and next prime (4256480067869).

It is a super-2 number, since 2×4256480067840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 137305808625 + ... + 137305808655.

It is an arithmetic number, because the mean of its divisors is an integer number (4693024000).

Almost surely, 2^{4256480067840} is an apocalyptic number.

4256480067840 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 4256480067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812727296000).

4256480067840 is an abundant number, since it is smaller than the sum of its proper divisors (17368974524160).

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

4256480067840 is an equidigital number, since it uses as much as digits as its factorization.

4256480067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4256480067840 in words is "four trillion, two hundred fifty-six billion, four hundred eighty million, sixty-seven thousand, eight hundred forty".