48253501440 has 504 divisors, whose sum is σ = 175351646988. Its totient is φ = 12740198400.

The previous prime is 48253501433. The next prime is 48253501469. The reversal of 48253501440 is 4410535284.

It is a happy number.

48253501440 is a `hidden beast` number, since 4 + 82 + 535 + 0 + 1 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45912489984 + 2341011456 = 214272^2 + 48384^2 .

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 = 48253501395 and 48253501404.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477757390 + ... + 477757490.

Almost surely, 2^48253501440 is an apocalyptic number.

48253501440 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 48253501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87675823494).

48253501440 is an abundant number, since it is smaller than the sum of its proper divisors (127098145548).

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

48253501440 is an frugal number, since it uses more digits than its factorization.

48253501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 48253501440 in words is "forty-eight billion, two hundred fifty-three million, five hundred one thousand, four hundred forty".