48203735040 has 672 divisors, whose sum is σ = 180333578880. Its totient is φ = 12336758784.

The previous prime is 48203735023. The next prime is 48203735051. The reversal of 48203735040 is 4053730284.

It is a happy number.

48203735040 is a `hidden beast` number, since 4 + 82 + 0 + 3 + 73 + 504 + 0 = 666.

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 = 48203734986 and 48203735004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288645037 + ... + 288645203.

It is an arithmetic number, because the mean of its divisors is an integer number (268353540).

Almost surely, 2^48203735040 is an apocalyptic number.

48203735040 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 48203735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90166789440).

48203735040 is an abundant number, since it is smaller than the sum of its proper divisors (132129843840).

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

48203735040 is an equidigital number, since it uses as much as digits as its factorization.

48203735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 48203735040 in words is "forty-eight billion, two hundred three million, seven hundred thirty-five thousand, forty".