335140485120 has 768 divisors, whose sum is σ = 1420892928000. Its totient is φ = 73263218688.

The previous prime is 335140485109. The next prime is 335140485139. The reversal of 335140485120 is 21584041533.

335140485120 is a `hidden beast` number, since 3 + 3 + 51 + 4 + 0 + 485 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×335140485120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44509516 + ... + 44517044.

It is an arithmetic number, because the mean of its divisors is an integer number (1850121000).

Almost surely, 2^335140485120 is an apocalyptic number.

335140485120 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 335140485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710446464000).

335140485120 is an abundant number, since it is smaller than the sum of its proper divisors (1085752442880).

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

335140485120 is a wasteful number, since it uses less digits than its factorization.

335140485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 335140485120 in words is "three hundred thirty-five billion, one hundred forty million, four hundred eighty-five thousand, one hundred twenty".