49324913418240 has 896 divisors, whose sum is σ = 178026894420480. Its totient is φ = 12954814119936.

The previous prime is 49324913418239. The next prime is 49324913418271. The reversal of 49324913418240 is 4281431942394.

49324913418240 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 491 + 34 + 1 + 82 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40663571874 + ... + 40663573086.

It is an arithmetic number, because the mean of its divisors is an integer number (198690730380).

Almost surely, 2^{49324913418240} is an apocalyptic number.

49324913418240 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 49324913418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89013447210240).

49324913418240 is an abundant number, since it is smaller than the sum of its proper divisors (128701981002240).

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

49324913418240 is a wasteful number, since it uses less digits than its factorization.

49324913418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49324913418240 in words is "forty-nine trillion, three hundred twenty-four billion, nine hundred thirteen million, four hundred eighteen thousand, two hundred forty".