49488993446400 has 960 divisors, whose sum is σ = 191896733001600. Its totient is φ = 12457525248000.

The previous prime is 49488993446393. The next prime is 49488993446489. The reversal of 49488993446400 is 464439988494.

It is a happy number.

49488993446400 is a `hidden beast` number, since 4 + 9 + 48 + 8 + 99 + 34 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1845144990 + ... + 1845171810.

It is an arithmetic number, because the mean of its divisors is an integer number (199892430210).

Almost surely, 2^{49488993446400} is an apocalyptic number.

49488993446400 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 49488993446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95948366500800).

49488993446400 is an abundant number, since it is smaller than the sum of its proper divisors (142407739555200).

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

49488993446400 is a wasteful number, since it uses less digits than its factorization.

49488993446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27158 (or 27131 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 49488993446400 in words is "forty-nine trillion, four hundred eighty-eight billion, nine hundred ninety-three million, four hundred forty-six thousand, four hundred".