49733403841800 has 576 divisors, whose sum is σ = 195727497638400. Its totient is φ = 11079582105600.

The previous prime is 49733403841787. The next prime is 49733403841801. The reversal of 49733403841800 is 814830433794.

49733403841800 is a `hidden beast` number, since 4 + 97 + 3 + 340 + 38 + 4 + 180 + 0 = 666.

It is a super-2 number, since 2×49733403841800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49733403841801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 536701072 + ... + 536793728.

It is an arithmetic number, because the mean of its divisors is an integer number (339804683400).

Almost surely, 2^{49733403841800} is an apocalyptic number.

49733403841800 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 49733403841800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97863748819200).

49733403841800 is an abundant number, since it is smaller than the sum of its proper divisors (145994093796600).

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

49733403841800 is a wasteful number, since it uses less digits than its factorization.

49733403841800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93766 (or 93754 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 49733403841800 in words is "forty-nine trillion, seven hundred thirty-three billion, four hundred three million, eight hundred forty-one thousand, eight hundred".