49942196928 has 336 divisors, whose sum is σ = 157687036416. Its totient is φ = 15019776000.

The previous prime is 49942196921. The next prime is 49942196971. The reversal of 49942196928 is 82969124994.

49942196928 is a `hidden beast` number, since 499 + 42 + 19 + 6 + 92 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20155392) is a multiple of the sum of its prime factors (972).

It is not an unprimeable number, because it can be changed into a prime (49942196921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66500553 + ... + 66501303.

It is an arithmetic number, because the mean of its divisors is an integer number (469306656).

Almost surely, 2^49942196928 is an apocalyptic number.

49942196928 is a gapful number since it is divisible by the number (48) 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 49942196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78843518208).

49942196928 is an abundant number, since it is smaller than the sum of its proper divisors (107744839488).

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

49942196928 is a wasteful number, since it uses less digits than its factorization.

49942196928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 49942196928 in words is "forty-nine billion, nine hundred forty-two million, one hundred ninety-six thousand, nine hundred twenty-eight".