330405135480 has 1024 divisors, whose sum is σ = 1331350732800. Its totient is φ = 71327692800.

The previous prime is 330405135439. The next prime is 330405135539. The reversal of 330405135480 is 84531504033.

330405135480 is a `hidden beast` number, since 3 + 3 + 0 + 40 + 5 + 135 + 480 = 666.

330405135480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 2188113405 + ... + 2188113555.

It is an arithmetic number, because the mean of its divisors is an integer number (1300147200).

Almost surely, 2^330405135480 is an apocalyptic number.

330405135480 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 330405135480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665675366400).

330405135480 is an abundant number, since it is smaller than the sum of its proper divisors (1000945597320).

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

330405135480 is a wasteful number, since it uses less digits than its factorization.

330405135480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 330405135480 in words is "three hundred thirty billion, four hundred five million, one hundred thirty-five thousand, four hundred eighty".