48802501440 has 1008 divisors, whose sum is σ = 217193408640. Its totient is φ = 9770803200.

The previous prime is 48802501421. The next prime is 48802501463. The reversal of 48802501440 is 4410520884.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48802501395 and 48802501404.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 213111246 + ... + 213111474.

Almost surely, 2^48802501440 is an apocalyptic number.

48802501440 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 48802501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108596704320).

48802501440 is an abundant number, since it is smaller than the sum of its proper divisors (168390907200).

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

48802501440 is a wasteful number, since it uses less digits than its factorization.

48802501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 48802501440 in words is "forty-eight billion, eight hundred two million, five hundred one thousand, four hundred forty".