49409042271680 has 896 divisors, whose sum is σ = 150746616545280. Its totient is φ = 15004927918080.

The previous prime is 49409042271661. The next prime is 49409042271689. The reversal of 49409042271680 is 8617224090494.

It is a happy number.

It is a super-2 number, since 2×49409042271680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49409042271689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94472355899 + ... + 94472356421.

It is an arithmetic number, because the mean of its divisors is an integer number (168243991680).

Almost surely, 2^{49409042271680} is an apocalyptic number.

49409042271680 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 49409042271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75373308272640).

49409042271680 is an abundant number, since it is smaller than the sum of its proper divisors (101337574273600).

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

49409042271680 is a wasteful number, since it uses less digits than its factorization.

49409042271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 49409042271680 in words is "forty-nine trillion, four hundred nine billion, forty-two million, two hundred seventy-one thousand, six hundred eighty".