49417801211520 has 2048 divisors, whose sum is σ = 210770058240000. Its totient is φ = 10708264157184.

The previous prime is 49417801211407. The next prime is 49417801211521. The reversal of 49417801211520 is 2511210871494.

It is a happy number.

49417801211520 is a `hidden beast` number, since 4 + 9 + 41 + 7 + 80 + 1 + 2 + 1 + 1 + 520 = 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 (49417801211521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29086403631 + ... + 29086405329.

It is an arithmetic number, because the mean of its divisors is an integer number (102915067500).

Almost surely, 2^{49417801211520} is an apocalyptic number.

49417801211520 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 49417801211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105385029120000).

49417801211520 is an abundant number, since it is smaller than the sum of its proper divisors (161352257028480).

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

49417801211520 is a wasteful number, since it uses less digits than its factorization.

49417801211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 49417801211520 in words is "forty-nine trillion, four hundred seventeen billion, eight hundred one million, two hundred eleven thousand, five hundred twenty".