49017960000 has 735 divisors, whose sum is σ = 186792826693. Its totient is φ = 12752640000.

The previous prime is 49017959941. The next prime is 49017960001. The reversal of 49017960000 is 6971094.

The square root of 49017960000 is 221400.

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

49017960000 is a `hidden beast` number, since 49 + 0 + 1 + 7 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 48826857024 + 191102976 = 220968^2 + 13824^2 .

It is a super-3 number, since 3×49017960000³ (a number of 33 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49017960001) 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 104 ways as a sum of consecutive naturals, for example, 1195559980 + ... + 1195560020.

Almost surely, 2^49017960000 is an apocalyptic number.

49017960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49017960000 is the 221400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49017960000

49017960000 is an abundant number, since it is smaller than the sum of its proper divisors (137774866693).

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

49017960000 is an frugal number, since it uses more digits than its factorization.

49017960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 51 counting only the distinct ones).

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

Multiplying 49017960000 by its sum of digits (36), we get a square (1764646560000 = 1328400²).

49017960000 divided by its sum of digits (36) gives a square (1361610000 = 36900²).

The spelling of 49017960000 in words is "forty-nine billion, seventeen million, nine hundred sixty thousand".