49742035200 has 1620 divisors, whose sum is σ = 221278556884. Its totient is φ = 10948608000.

The previous prime is 49742035181. The next prime is 49742035229. The reversal of 49742035200 is 253024794.

49742035200 is a `hidden beast` number, since 4 + 97 + 42 + 0 + 3 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17703899136 + 32038136064 = 133056^2 + 178992^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 815443170 + ... + 815443230.

Almost surely, 2^49742035200 is an apocalyptic number.

49742035200 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 49742035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110639278442).

49742035200 is an abundant number, since it is smaller than the sum of its proper divisors (171536521684).

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

49742035200 is a wasteful number, since it uses less digits than its factorization.

49742035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 49742035200 its reverse (253024794), we get a palindrome (49995059994).

The spelling of 49742035200 in words is "forty-nine billion, seven hundred forty-two million, thirty-five thousand, two hundred".