48838962240 has 336 divisors, whose sum is σ = 171189231408. Its totient is φ = 12777357312.

The previous prime is 48838962233. The next prime is 48838962257. The reversal of 48838962240 is 4226983884.

48838962240 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 8 + 9 + 622 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1498176 + 48837464064 = 1224^2 + 220992^2 .

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 47 ways as a sum of consecutive naturals, for example, 48985422 + ... + 48986418.

Almost surely, 2^48838962240 is an apocalyptic number.

48838962240 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 48838962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85594615704).

48838962240 is an abundant number, since it is smaller than the sum of its proper divisors (122350269168).

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

48838962240 is a wasteful number, since it uses less digits than its factorization.

48838962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48838962240 in words is "forty-eight billion, eight hundred thirty-eight million, nine hundred sixty-two thousand, two hundred forty".