49961970240 has 1344 divisors, whose sum is σ = 213653583360. Its totient is φ = 9661317120.

The previous prime is 49961970197. The next prime is 49961970257. The reversal of 49961970240 is 4207916994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218584620 + ... + 1218584660.

It is an arithmetic number, because the mean of its divisors is an integer number (158968440).

Almost surely, 2^49961970240 is an apocalyptic number.

49961970240 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 49961970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106826791680).

49961970240 is an abundant number, since it is smaller than the sum of its proper divisors (163691613120).

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

49961970240 is a wasteful number, since it uses less digits than its factorization.

49961970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

It can be divided in two parts, 49961 and 970240, that added together give a palindrome (1020201).

The spelling of 49961970240 in words is "forty-nine billion, nine hundred sixty-one million, nine hundred seventy thousand, two hundred forty".