49042009000000 has 441 divisors, whose sum is σ = 125128638352459. Its totient is φ = 19070569600000.

The previous prime is 49042008999959. The next prime is 49042009000007. The reversal of 49042009000000 is 90024094.

The square root of 49042009000000 is 7003000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 20791338301504 + 28250670698496 = 4559752^2 + 5315136^2 .

It is a super-5 number, since 5×49042009000000⁵ (a number of 70 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49042009000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 329140999926 + ... + 329141000074.

Almost surely, 2^{49042009000000} is an apocalyptic number.

49042009000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49042009000000 is the 7003000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49042009000000

49042009000000 is an abundant number, since it is smaller than the sum of its proper divisors (76086629352459).

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

49042009000000 is an frugal number, since it uses more digits than its factorization.

49042009000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 49042009000000 its reverse (90024094), we get a palindrome (49042099024094).

The spelling of 49042009000000 in words is "forty-nine trillion, forty-two billion, nine million", and thus it is an aban number and an uban number.