49189530240 has 384 divisors, whose sum is σ = 179640115200. Its totient is φ = 12382617600.

The previous prime is 49189530233. The next prime is 49189530253. The reversal of 49189530240 is 4203598194.

49189530240 is a `hidden beast` number, since 4 + 91 + 8 + 9 + 530 + 24 + 0 = 666.

49189530240 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 (384).

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 47 ways as a sum of consecutive naturals, for example, 7317601 + ... + 7324319.

It is an arithmetic number, because the mean of its divisors is an integer number (467812800).

Almost surely, 2^49189530240 is an apocalyptic number.

49189530240 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 49189530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89820057600).

49189530240 is an abundant number, since it is smaller than the sum of its proper divisors (130450584960).

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

49189530240 is a wasteful number, since it uses less digits than its factorization.

49189530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 49 and 189530240, that added together give a square (189530289 = 13767²).

The spelling of 49189530240 in words is "forty-nine billion, one hundred eighty-nine million, five hundred thirty thousand, two hundred forty".