49328789459040 has 2592 divisors, whose sum is σ = 227285060498496. Its totient is φ = 9684262748160.

The previous prime is 49328789459021. The next prime is 49328789459051. The reversal of 49328789459040 is 4095498782394.

49328789459040 is a `hidden beast` number, since 4 + 9 + 3 + 28 + 7 + 8 + 9 + 4 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49328789459040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10147866210 + ... + 10147871070.

It is an arithmetic number, because the mean of its divisors is an integer number (87687137538).

Almost surely, 2^{49328789459040} is an apocalyptic number.

49328789459040 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 49328789459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113642530249248).

49328789459040 is an abundant number, since it is smaller than the sum of its proper divisors (177956271039456).

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

49328789459040 is a wasteful number, since it uses less digits than its factorization.

49328789459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 49328789459040 in words is "forty-nine trillion, three hundred twenty-eight billion, seven hundred eighty-nine million, four hundred fifty-nine thousand, forty".