4048858045440 has 1056 divisors, whose sum is σ = 16109139586176. Its totient is φ = 931450060800.

The previous prime is 4048858045417. The next prime is 4048858045469. The reversal of 4048858045440 is 445408588404.

4048858045440 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 8 + 580 + 4 + 54 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1537734364 + ... + 1537736996.

Almost surely, 2^{4048858045440} is an apocalyptic number.

4048858045440 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 4048858045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054569793088).

4048858045440 is an abundant number, since it is smaller than the sum of its proper divisors (12060281540736).

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

4048858045440 is a wasteful number, since it uses less digits than its factorization.

4048858045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 54.

The spelling of 4048858045440 in words is "four trillion, forty-eight billion, eight hundred fifty-eight million, forty-five thousand, four hundred forty".