48434096240640 has 576 divisors, whose sum is σ = 189906712894080. Its totient is φ = 11741592453120.

The previous prime is 48434096240617. The next prime is 48434096240657. The reversal of 48434096240640 is 4604269043484.

It is a happy number.

48434096240640 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 4 + 0 + 9 + 624 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 26486767 + ... + 28256273.

It is an arithmetic number, because the mean of its divisors is an integer number (329699154330).

Almost surely, 2^{48434096240640} is an apocalyptic number.

48434096240640 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 48434096240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94953356447040).

48434096240640 is an abundant number, since it is smaller than the sum of its proper divisors (141472616653440).

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

48434096240640 is a wasteful number, since it uses less digits than its factorization.

48434096240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769560 (or 1769528 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 48434096240640 in words is "forty-eight trillion, four hundred thirty-four billion, ninety-six million, two hundred forty thousand, six hundred forty".