480610418874240 has 128 divisors (see below), whose sum is σ = 1532117257696800. Its totient is φ = 128148426678272.

The previous prime is 480610418874197. The next prime is 480610418874251. The reversal of 480610418874240 is 42478814016084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×480610418874240³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3140506 + ... + 31162214.

Almost surely, 2^{480610418874240} is an apocalyptic number.

480610418874240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480610418874240 is an abundant number, since it is smaller than the sum of its proper divisors (1051506838822560).

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

480610418874240 is a wasteful number, since it uses less digits than its factorization.

480610418874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28030664 (or 28030652 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 480610418874240 in words is "four hundred eighty trillion, six hundred ten billion, four hundred eighteen million, eight hundred seventy-four thousand, two hundred forty".