48008867040 has 288 divisors, whose sum is σ = 170814964320. Its totient is φ = 12267859968.

The previous prime is 48008867033. The next prime is 48008867047. The reversal of 48008867040 is 4076880084.

It is an interprime number because it is at equal distance from previous prime (48008867033) and next prime (48008867047).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48008867047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3274446 + ... + 3289074.

It is an arithmetic number, because the mean of its divisors is an integer number (593107515).

Almost surely, 2^48008867040 is an apocalyptic number.

48008867040 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 48008867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85407482160).

48008867040 is an abundant number, since it is smaller than the sum of its proper divisors (122806097280).

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

48008867040 is a wasteful number, since it uses less digits than its factorization.

48008867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 48008867040 in words is "forty-eight billion, eight million, eight hundred sixty-seven thousand, forty".