49337014026240 has 864 divisors, whose sum is σ = 176445525686976. Its totient is φ = 12743595786240.

The previous prime is 49337014026233. The next prime is 49337014026241. The reversal of 49337014026240 is 4262041073394.

49337014026240 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 7 + 0 + 14 + 0 + 2 + 624 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49337014026241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 72235744939 + ... + 72235745621.

It is an arithmetic number, because the mean of its divisors is an integer number (204219358434).

Almost surely, 2^{49337014026240} is an apocalyptic number.

49337014026240 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 49337014026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88222762843488).

49337014026240 is an abundant number, since it is smaller than the sum of its proper divisors (127108511660736).

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

49337014026240 is an equidigital number, since it uses as much as digits as its factorization.

49337014026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 49337014026240 in words is "forty-nine trillion, three hundred thirty-seven billion, fourteen million, twenty-six thousand, two hundred forty".