354558409920 has 1120 divisors, whose sum is σ = 1546515210240. Its totient is φ = 75873853440.

The previous prime is 354558409861. The next prime is 354558409939. The reversal of 354558409920 is 29904855453.

354558409920 is a `hidden beast` number, since 3 + 5 + 455 + 84 + 0 + 99 + 20 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 85248801 + ... + 85252959.

It is an arithmetic number, because the mean of its divisors is an integer number (1380817152).

Almost surely, 2^354558409920 is an apocalyptic number.

354558409920 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 354558409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773257605120).

354558409920 is an abundant number, since it is smaller than the sum of its proper divisors (1191956800320).

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

354558409920 is a wasteful number, since it uses less digits than its factorization.

354558409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 354558409920 in words is "three hundred fifty-four billion, five hundred fifty-eight million, four hundred nine thousand, nine hundred twenty".