330040770400 has 144 divisors (see below), whose sum is σ = 887663529648. Its totient is φ = 118826240000.

The previous prime is 330040770317. The next prime is 330040770401. The reversal of 330040770400 is 4077040033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330040770401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703134 + ... + 1074466.

It is an arithmetic number, because the mean of its divisors is an integer number (6164330067).

Almost surely, 2^330040770400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330040770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443831764824).

330040770400 is an abundant number, since it is smaller than the sum of its proper divisors (557622759248).

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

330040770400 is a wasteful number, since it uses less digits than its factorization.

330040770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371465 (or 371452 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The spelling of 330040770400 in words is "three hundred thirty billion, forty million, seven hundred seventy thousand, four hundred".