49001040 has 240 divisors, whose sum is σ = 188023680. Its totient is φ = 11320320.

The previous prime is 49001033. The next prime is 49001041. The reversal of 49001040 is 4010094.

49001040 = T₃₂₁ + T₃₂₂ + ... + T₆₈₈.

49001040 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 (240).

It is a super-2 number, since 2×49001040² = 4802203842163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49001041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 182026 + ... + 182294.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 2^49001040 is an apocalyptic number.

49001040 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 49001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

49001040 is an abundant number, since it is smaller than the sum of its proper divisors (139022640).

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

49001040 is a wasteful number, since it uses less digits than its factorization.

49001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49001040 is about 7000.0742853201. The cubic root of 49001040 is about 365.9331598805.

The spelling of 49001040 in words is "forty-nine million, one thousand, forty".