49742397120 has 224 divisors, whose sum is σ = 180086251968. Its totient is φ = 11523981312.

The previous prime is 49742397071. The next prime is 49742397127. The reversal of 49742397120 is 2179324794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49742397120.

It is not an unprimeable number, because it can be changed into a prime (49742397127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94932 + ... + 329388.

It is an arithmetic number, because the mean of its divisors is an integer number (803956482).

Almost surely, 2^49742397120 is an apocalyptic number.

49742397120 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 49742397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90043125984).

49742397120 is an abundant number, since it is smaller than the sum of its proper divisors (130343854848).

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

49742397120 is a wasteful number, since it uses less digits than its factorization.

49742397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234507 (or 234497 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 49742397120 in words is "forty-nine billion, seven hundred forty-two million, three hundred ninety-seven thousand, one hundred twenty".