352480161749040 has 160 divisors (see below), whose sum is σ = 1307490514626240. Its totient is φ = 86764347500544.

The previous prime is 352480161749029. The next prime is 352480161749047. The reversal of 352480161749040 is 40947161084253.

352480161749040 is a `hidden beast` number, since 3 + 5 + 2 + 480 + 1 + 6 + 1 + 74 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (352480161749047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6276328077 + ... + 6276384236.

It is an arithmetic number, because the mean of its divisors is an integer number (8171815716414).

It is a 1-persistent number, because it is pandigital, but 2⋅352480161749040 = 704960323498080 is not.

Almost surely, 2^{352480161749040} is an apocalyptic number.

352480161749040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352480161749040 is an abundant number, since it is smaller than the sum of its proper divisors (955010352877200).

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

352480161749040 is a wasteful number, since it uses less digits than its factorization.

352480161749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552712348 (or 12552712336 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 352480161749040 in words is "three hundred fifty-two trillion, four hundred eighty billion, one hundred sixty-one million, seven hundred forty-nine thousand, forty".