49661040 has 160 divisors (see below), whose sum is σ = 180988416. Its totient is φ = 11105280.

The previous prime is 49661033. The next prime is 49661057. The reversal of 49661040 is 4016694.

49661040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 49660989 and 49661007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33597 + ... + 35043.

Almost surely, 2^49661040 is an apocalyptic number.

49661040 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 49661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90494208).

49661040 is an abundant number, since it is smaller than the sum of its proper divisors (131327376).

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

49661040 is a wasteful number, since it uses less digits than its factorization.

49661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 49661040 is about 7047.0589610135. The cubic root of 49661040 is about 367.5687686570.

It can be divided in two parts, 4966 and 1040, that added together give a palindrome (6006).

The spelling of 49661040 in words is "forty-nine million, six hundred sixty-one thousand, forty".