354909120000 has 800 divisors, whose sum is σ = 1237024825344. Its totient is φ = 90316800000.

The previous prime is 354909119963. The next prime is 354909120001. The reversal of 354909120000 is 21909453.

It is a tau number, because it is divible by the number of its divisors (800).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354909120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2794559937 + ... + 2794560063.

Almost surely, 2^354909120000 is an apocalyptic number.

354909120000 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 354909120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618512412672).

354909120000 is an abundant number, since it is smaller than the sum of its proper divisors (882115705344).

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

354909120000 is an equidigital number, since it uses as much as digits as its factorization.

354909120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 354909120000 in words is "three hundred fifty-four billion, nine hundred nine million, one hundred twenty thousand".