48403889101440 has 96 divisors (see below), whose sum is σ = 167144679573300. Its totient is φ = 12907703758848.

The previous prime is 48403889101439. The next prime is 48403889101523. The reversal of 48403889101440 is 4410198830484.

48403889101440 is a `hidden beast` number, since 4 + 8 + 403 + 8 + 8 + 91 + 0 + 144 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40001172323904 + 8402716777536 = 6324648^2 + 2898744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48403889101440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4201720725 + ... + 4201732244.

Almost surely, 2^{48403889101440} is an apocalyptic number.

48403889101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48403889101440 is an abundant number, since it is smaller than the sum of its proper divisors (118740790471860).

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

48403889101440 is a wasteful number, since it uses less digits than its factorization.

48403889101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403452994 (or 8403452979 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48403889101440 in words is "forty-eight trillion, four hundred three billion, eight hundred eighty-nine million, one hundred one thousand, four hundred forty".