49040845701120 has 2688 divisors, whose sum is σ = 221877904711680. Its totient is φ = 10126928904192.

The previous prime is 49040845701101. The next prime is 49040845701161. The reversal of 49040845701120 is 2110754804094.

49040845701120 is a `hidden beast` number, since 4 + 9 + 0 + 40 + 8 + 4 + 570 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1043422248937 + ... + 1043422248983.

It is an arithmetic number, because the mean of its divisors is an integer number (82543863360).

Almost surely, 2^{49040845701120} is an apocalyptic number.

49040845701120 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 49040845701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110938952355840).

49040845701120 is an abundant number, since it is smaller than the sum of its proper divisors (172837059010560).

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

49040845701120 is an frugal number, since it uses more digits than its factorization.

49040845701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 49040845701120 in words is "forty-nine trillion, forty billion, eight hundred forty-five million, seven hundred one thousand, one hundred twenty".