49105504419840 has 2880 divisors, whose sum is σ = 208749424181760. Its totient is φ = 10899947520000.

The previous prime is 49105504419833. The next prime is 49105504419929. The reversal of 49105504419840 is 4891440550194.

49105504419840 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 5 + 504 + 4 + 1 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×49105504419840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195639459715 + ... + 195639459965.

It is an arithmetic number, because the mean of its divisors is an integer number (72482438952).

Almost surely, 2^{49105504419840} is an apocalyptic number.

49105504419840 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 49105504419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104374712090880).

49105504419840 is an abundant number, since it is smaller than the sum of its proper divisors (159643919761920).

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

49105504419840 is a wasteful number, since it uses less digits than its factorization.

49105504419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 49105504419840 in words is "forty-nine trillion, one hundred five billion, five hundred four million, four hundred nineteen thousand, eight hundred forty".