355255255440 has 120 divisors (see below), whose sum is σ = 1195058779200. Its totient is φ = 94576465152.

The previous prime is 355255255417. The next prime is 355255255469. The reversal of 355255255440 is 44552552553.

355255255440 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 5 + 52 + 554 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 19419 + ... + 843141.

It is an arithmetic number, because the mean of its divisors is an integer number (9958823160).

Almost surely, 2^355255255440 is an apocalyptic number.

355255255440 is a gapful number since it is divisible by the number (30) 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 355255255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597529389600).

355255255440 is an abundant number, since it is smaller than the sum of its proper divisors (839803523760).

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

355255255440 is a wasteful number, since it uses less digits than its factorization.

355255255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824341 (or 824332 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 45.

The spelling of 355255255440 in words is "three hundred fifty-five billion, two hundred fifty-five million, two hundred fifty-five thousand, four hundred forty".