49431996000 has 288 divisors, whose sum is σ = 184670085600. Its totient is φ = 12487910400.

The previous prime is 49431995971. The next prime is 49431996001. The reversal of 49431996000 is 69913494.

49431996000 is a `hidden beast` number, since 4 + 9 + 4 + 31 + 9 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49431996001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 647866 + ... + 720134.

It is an arithmetic number, because the mean of its divisors is an integer number (641215575).

Almost surely, 2^49431996000 is an apocalyptic number.

49431996000 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 49431996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92335042800).

49431996000 is an abundant number, since it is smaller than the sum of its proper divisors (135238089600).

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

49431996000 is a wasteful number, since it uses less digits than its factorization.

49431996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72319 (or 72298 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 49431996000 in words is "forty-nine billion, four hundred thirty-one million, nine hundred ninety-six thousand".