49292359280640 has 1920 divisors, whose sum is σ = 223102323924480. Its totient is φ = 10142556880896.

The previous prime is 49292359280627. The next prime is 49292359280641. The reversal of 49292359280640 is 4608295329294.

49292359280640 is a `hidden beast` number, since 4 + 9 + 292 + 3 + 5 + 9 + 280 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49292359280641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2270166424 + ... + 2270188136.

It is an arithmetic number, because the mean of its divisors is an integer number (116199127044).

Almost surely, 2^{49292359280640} is an apocalyptic number.

49292359280640 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 49292359280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111551161962240).

49292359280640 is an abundant number, since it is smaller than the sum of its proper divisors (173809964643840).

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

49292359280640 is a wasteful number, since it uses less digits than its factorization.

49292359280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21799 (or 21770 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 49292359280640 in words is "forty-nine trillion, two hundred ninety-two billion, three hundred fifty-nine million, two hundred eighty thousand, six hundred forty".