355048664040 has 320 divisors, whose sum is σ = 1366212355200. Its totient is φ = 81012690432.

The previous prime is 355048664023. The next prime is 355048664101. The reversal of 355048664040 is 40466840553.

355048664040 is a `hidden beast` number, since 3 + 5 + 504 + 8 + 66 + 40 + 40 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13299826 + ... + 13326494.

It is an arithmetic number, because the mean of its divisors is an integer number (4269413610).

Almost surely, 2^355048664040 is an apocalyptic number.

355048664040 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 355048664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683106177600).

355048664040 is an abundant number, since it is smaller than the sum of its proper divisors (1011163691160).

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

355048664040 is a wasteful number, since it uses less digits than its factorization.

355048664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 355048664040 in words is "three hundred fifty-five billion, forty-eight million, six hundred sixty-four thousand, forty".