48039460416000 has 960 divisors, whose sum is σ = 180768876837120. Its totient is φ = 12238840627200.

The previous prime is 48039460415983. The next prime is 48039460416007. The reversal of 48039460416000 is 61406493084.

48039460416000 is a `hidden beast` number, since 4 + 8 + 0 + 39 + 4 + 6 + 0 + 4 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48039460416007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14877502386 + ... + 14877505614.

It is an arithmetic number, because the mean of its divisors is an integer number (188300913372).

Almost surely, 2^{48039460416000} is an apocalyptic number.

48039460416000 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 48039460416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90384438418560).

48039460416000 is an abundant number, since it is smaller than the sum of its proper divisors (132729416421120).

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

48039460416000 is a wasteful number, since it uses less digits than its factorization.

48039460416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48039460416000 in words is "forty-eight trillion, thirty-nine billion, four hundred sixty million, four hundred sixteen thousand".