48039472419840 has 528 divisors, whose sum is σ = 187445574590976. Its totient is φ = 11270253772800.

The previous prime is 48039472419803. The next prime is 48039472419853. The reversal of 48039472419840 is 4891427493084.

48039472419840 is a `hidden beast` number, since 4 + 8 + 0 + 39 + 472 + 4 + 1 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14184654 + ... + 17241906.

Almost surely, 2^{48039472419840} is an apocalyptic number.

48039472419840 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 48039472419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93722787295488).

48039472419840 is an abundant number, since it is smaller than the sum of its proper divisors (139406102171136).

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

48039472419840 is a wasteful number, since it uses less digits than its factorization.

48039472419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057326 (or 3057305 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 48039472419840 in words is "forty-eight trillion, thirty-nine billion, four hundred seventy-two million, four hundred nineteen thousand, eight hundred forty".