49003120800 has 360 divisors, whose sum is σ = 181238837472. Its totient is φ = 12882240000.

The previous prime is 49003120769. The next prime is 49003120801. The reversal of 49003120800 is 802130094.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×49003120800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49003120801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4595475 + ... + 4606125.

Almost surely, 2^49003120800 is an apocalyptic number.

49003120800 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 49003120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90619418736).

49003120800 is an abundant number, since it is smaller than the sum of its proper divisors (132235716672).

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

49003120800 is a wasteful number, since it uses less digits than its factorization.

49003120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 49003120800 its reverse (802130094), we get a palindrome (49805250894).

The spelling of 49003120800 in words is "forty-nine billion, three million, one hundred twenty thousand, eight hundred".