355421838240 has 144 divisors (see below), whose sum is σ = 1386145208448. Its totient is φ = 81239275008.

The previous prime is 355421838221. The next prime is 355421838251. The reversal of 355421838240 is 42838124553.

355421838240 is a `hidden beast` number, since 3 + 5 + 54 + 218 + 382 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 17619972 + ... + 17640131.

It is an arithmetic number, because the mean of its divisors is an integer number (9626008392).

Almost surely, 2^355421838240 is an apocalyptic number.

355421838240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355421838240 is an abundant number, since it is smaller than the sum of its proper divisors (1030723370208).

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

355421838240 is a wasteful number, since it uses less digits than its factorization.

355421838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35260131 (or 35260120 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 355421838240 in words is "three hundred fifty-five billion, four hundred twenty-one million, eight hundred thirty-eight thousand, two hundred forty".