255302045040 has 320 divisors, whose sum is σ = 940419809280. Its totient is φ = 56064476160.

The previous prime is 255302045039. The next prime is 255302045059. The reversal of 255302045040 is 40540203552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 255302044989 and 255302045007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7221487 + ... + 7256753.

It is an arithmetic number, because the mean of its divisors is an integer number (2938811904).

Almost surely, 2^255302045040 is an apocalyptic number.

255302045040 is a gapful number since it is divisible by the number (20) 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 255302045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470209904640).

255302045040 is an abundant number, since it is smaller than the sum of its proper divisors (685117764240).

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

255302045040 is a wasteful number, since it uses less digits than its factorization.

255302045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460 (or 35454 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 255302045040 its reverse (40540203552), we get a palindrome (295842248592).

It can be divided in two parts, 2553020 and 45040, that added together give a triangular number (2598060 = T₂₂₇₉).

The spelling of 255302045040 in words is "two hundred fifty-five billion, three hundred two million, forty-five thousand, forty".