335141089920 has 2304 divisors, whose sum is σ = 1599919776000. Its totient is φ = 66217181184.

The previous prime is 335141089879. The next prime is 335141089957. The reversal of 335141089920 is 29980141533.

It is a happy number.

335141089920 is a `hidden beast` number, since 3 + 3 + 514 + 108 + 9 + 9 + 20 = 666.

It is a super-2 number, since 2×335141089920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1684125981 + ... + 1684126179.

It is an arithmetic number, because the mean of its divisors is an integer number (694409625).

Almost surely, 2^335141089920 is an apocalyptic number.

335141089920 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 335141089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799959888000).

335141089920 is an abundant number, since it is smaller than the sum of its proper divisors (1264778686080).

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

335141089920 is a wasteful number, since it uses less digits than its factorization.

335141089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 335141089920 in words is "three hundred thirty-five billion, one hundred forty-one million, eighty-nine thousand, nine hundred twenty".