333540472020480 has 240 divisors, whose sum is σ = 1155400556042304. Its totient is φ = 88924407152640.

The previous prime is 333540472020473. The next prime is 333540472020493. The reversal of 333540472020480 is 84020274045333.

333540472020480 is a `hidden beast` number, since 3 + 3 + 3 + 540 + 4 + 7 + 2 + 0 + 20 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×333540472020480² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102469225 + ... + 105674135.

Almost surely, 2^{333540472020480} is an apocalyptic number.

333540472020480 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 333540472020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577700278021152).

333540472020480 is an abundant number, since it is smaller than the sum of its proper divisors (821860084021824).

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

333540472020480 is a wasteful number, since it uses less digits than its factorization.

333540472020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209457 (or 3209438 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 333540472020480 in words is "three hundred thirty-three trillion, five hundred forty billion, four hundred seventy-two million, twenty thousand, four hundred eighty".