350256075049440 has 1728 divisors, whose sum is σ = 1579127229912960. Its totient is φ = 68921606799360.

The previous prime is 350256075049393. The next prime is 350256075049453. The reversal of 350256075049440 is 44940570652053.

It is a happy number.

350256075049440 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 5 + 6 + 0 + 7 + 504 + 94 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1793870220 + ... + 1794065460.

It is an arithmetic number, because the mean of its divisors is an integer number (913846776570).

Almost surely, 2^{350256075049440} is an apocalyptic number.

350256075049440 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 350256075049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789563614956480).

350256075049440 is an abundant number, since it is smaller than the sum of its proper divisors (1228871154863520).

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

350256075049440 is a wasteful number, since it uses less digits than its factorization.

350256075049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195353 (or 195323 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 350256075049440 in words is "three hundred fifty trillion, two hundred fifty-six billion, seventy-five million, forty-nine thousand, four hundred forty".