48487417440 has 768 divisors, whose sum is σ = 198985973760. Its totient is φ = 9630720000.

The previous prime is 48487417411. The next prime is 48487417481. The reversal of 48487417440 is 4471478484.

It is a congruent number.

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, 115721551 + ... + 115721969.

It is an arithmetic number, because the mean of its divisors is an integer number (259096320).

Almost surely, 2^48487417440 is an apocalyptic number.

48487417440 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 48487417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99492986880).

48487417440 is an abundant number, since it is smaller than the sum of its proper divisors (150498556320).

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

48487417440 is a wasteful number, since it uses less digits than its factorization.

48487417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 51.

The spelling of 48487417440 in words is "forty-eight billion, four hundred eighty-seven million, four hundred seventeen thousand, four hundred forty".