49548695040 has 960 divisors, whose sum is σ = 201724338816. Its totient is φ = 11126439936.

The previous prime is 49548695017. The next prime is 49548695071. The reversal of 49548695040 is 4059684594.

49548695040 is a `hidden beast` number, since 4 + 9 + 54 + 86 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188397949 + ... + 188398211.

Almost surely, 2^49548695040 is an apocalyptic number.

49548695040 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 49548695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100862169408).

49548695040 is an abundant number, since it is smaller than the sum of its proper divisors (152175643776).

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

49548695040 is a wasteful number, since it uses less digits than its factorization.

49548695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 49548695040 in words is "forty-nine billion, five hundred forty-eight million, six hundred ninety-five thousand, forty".