49182474240 has 680 divisors, whose sum is σ = 188411941080. Its totient is φ = 12230590464.

The previous prime is 49182474233. The next prime is 49182474259. The reversal of 49182474240 is 4247428194.

49182474240 is a `hidden beast` number, since 4 + 9 + 182 + 47 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14353956864 + 34828517376 = 119808^2 + 186624^2 .

It is a tau number, because it is divible by the number of its divisors (680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 451215306 + ... + 451215414.

Almost surely, 2^49182474240 is an apocalyptic number.

49182474240 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 49182474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94205970540).

49182474240 is an abundant number, since it is smaller than the sum of its proper divisors (139229466840).

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

49182474240 is an equidigital number, since it uses as much as digits as its factorization.

49182474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 49182474240 in words is "forty-nine billion, one hundred eighty-two million, four hundred seventy-four thousand, two hundred forty".