350133840000 has 1920 divisors, whose sum is σ = 1558876999680. Its totient is φ = 76515840000.

The previous prime is 350133839987. The next prime is 350133840011. The reversal of 350133840000 is 48331053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4218479959 + ... + 4218480041.

It is an arithmetic number, because the mean of its divisors is an integer number (811915104).

Almost surely, 2^350133840000 is an apocalyptic number.

350133840000 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 350133840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779438499840).

350133840000 is an abundant number, since it is smaller than the sum of its proper divisors (1208743159680).

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

350133840000 is an frugal number, since it uses more digits than its factorization.

350133840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 350133840000 in words is "three hundred fifty billion, one hundred thirty-three million, eight hundred forty thousand".