4488535434240 has 1408 divisors, whose sum is σ = 19142847037440. Its totient is φ = 982853222400.

The previous prime is 4488535434143. The next prime is 4488535434281. The reversal of 4488535434240 is 424345358844.

It is a happy number.

4488535434240 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 53 + 543 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 929108625 + ... + 929113455.

Almost surely, 2^{4488535434240} is an apocalyptic number.

4488535434240 is a gapful number since it is divisible by the number (40) 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 4488535434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571423518720).

4488535434240 is an abundant number, since it is smaller than the sum of its proper divisors (14654311603200).

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

4488535434240 is a wasteful number, since it uses less digits than its factorization.

4488535434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 54.

The spelling of 4488535434240 in words is "four trillion, four hundred eighty-eight billion, five hundred thirty-five million, four hundred thirty-four thousand, two hundred forty".