48092640330240 has 1920 divisors, whose sum is σ = 192851289227520. Its totient is φ = 11347623936000.

The previous prime is 48092640330223. The next prime is 48092640330263. The reversal of 48092640330240 is 4203304629084.

48092640330240 is a `hidden beast` number, since 4 + 80 + 9 + 264 + 0 + 3 + 302 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×48092640330240³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54588694600 + ... + 54588695480.

It is an arithmetic number, because the mean of its divisors is an integer number (100443379806).

Almost surely, 2^{48092640330240} is an apocalyptic number.

48092640330240 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 48092640330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96425644613760).

48092640330240 is an abundant number, since it is smaller than the sum of its proper divisors (144758648897280).

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

48092640330240 is a wasteful number, since it uses less digits than its factorization.

48092640330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 48092640330240 in words is "forty-eight trillion, ninety-two billion, six hundred forty million, three hundred thirty thousand, two hundred forty".