48742041600 has 1440 divisors, whose sum is σ = 218239781760. Its totient is φ = 10510663680.

The previous prime is 48742041587. The next prime is 48742041611. The reversal of 48742041600 is 614024784.

48742041600 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 2 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×48742041600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 667699164 + ... + 667699236.

It is an arithmetic number, because the mean of its divisors is an integer number (151555404).

Almost surely, 2^48742041600 is an apocalyptic number.

48742041600 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 48742041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109119890880).

48742041600 is an abundant number, since it is smaller than the sum of its proper divisors (169497740160).

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

48742041600 is a wasteful number, since it uses less digits than its factorization.

48742041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 48742041600 in words is "forty-eight billion, seven hundred forty-two million, forty-one thousand, six hundred".