4255365401640 has 384 divisors, whose sum is σ = 14565506810400. Its totient is φ = 1076029194240.

The previous prime is 4255365401629. The next prime is 4255365401647. The reversal of 4255365401640 is 461045635524.

4255365401640 is a `hidden beast` number, since 4 + 2 + 5 + 53 + 6 + 540 + 16 + 40 = 666.

4255365401640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1627017598116 + 2628347803524 = 1275546^2 + 1621218^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4255365401647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596905596 + ... + 596912724.

Almost surely, 2^{4255365401640} is an apocalyptic number.

4255365401640 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 4255365401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282753405200).

4255365401640 is an abundant number, since it is smaller than the sum of its proper divisors (10310141408760).

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

4255365401640 is a wasteful number, since it uses less digits than its factorization.

4255365401640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 4255365401640 in words is "four trillion, two hundred fifty-five billion, three hundred sixty-five million, four hundred one thousand, six hundred forty".