49824052871040 has 1280 divisors, whose sum is σ = 215474021452800. Its totient is φ = 10717293772800.

The previous prime is 49824052870987. The next prime is 49824052871057. The reversal of 49824052871040 is 4017825042894.

49824052871040 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 4 + 0 + 528 + 7 + 104 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1041078792 + ... + 1041126648.

It is an arithmetic number, because the mean of its divisors is an integer number (168339079260).

Almost surely, 2^{49824052871040} is an apocalyptic number.

49824052871040 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 49824052871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107737010726400).

49824052871040 is an abundant number, since it is smaller than the sum of its proper divisors (165649968581760).

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

49824052871040 is a wasteful number, since it uses less digits than its factorization.

49824052871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48065 (or 48044 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 49824052871040 in words is "forty-nine trillion, eight hundred twenty-four billion, fifty-two million, eight hundred seventy-one thousand, forty".