49019731200 has 1728 divisors, whose sum is σ = 218438519040. Its totient is φ = 10616832000.

The previous prime is 49019731199. The next prime is 49019731223. The reversal of 49019731200 is 213791094.

49019731200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1195603180 + ... + 1195603220.

It is an arithmetic number, because the mean of its divisors is an integer number (126411180).

Almost surely, 2^49019731200 is an apocalyptic number.

49019731200 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 49019731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109219259520).

49019731200 is an abundant number, since it is smaller than the sum of its proper divisors (169418787840).

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

49019731200 is a wasteful number, since it uses less digits than its factorization.

49019731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 49019731200 in words is "forty-nine billion, nineteen million, seven hundred thirty-one thousand, two hundred".