49226742835200 has 1728 divisors, whose sum is σ = 211310412768000. Its totient is φ = 11199943802880.

The previous prime is 49226742835141. The next prime is 49226742835247. The reversal of 49226742835200 is 253824762294.

49226742835200 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 6 + 7 + 428 + 3 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15782859241 + ... + 15782862359.

It is an arithmetic number, because the mean of its divisors is an integer number (122286118500).

Almost surely, 2^{49226742835200} is an apocalyptic number.

49226742835200 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 49226742835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655206384000).

49226742835200 is an abundant number, since it is smaller than the sum of its proper divisors (162083669932800).

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

49226742835200 is a wasteful number, since it uses less digits than its factorization.

49226742835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 49226742835200 in words is "forty-nine trillion, two hundred twenty-six billion, seven hundred forty-two million, eight hundred thirty-five thousand, two hundred".