49045530240 has 512 divisors, whose sum is σ = 202764902400. Its totient is φ = 10970615808.

The previous prime is 49045530217. The next prime is 49045530251. The reversal of 49045530240 is 4203554094.

It is a happy number.

49045530240 is a `hidden beast` number, since 49 + 0 + 45 + 530 + 2 + 40 = 666.

49045530240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 49045530195 and 49045530204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5680807 + ... + 5689433.

It is an arithmetic number, because the mean of its divisors is an integer number (396025200).

Almost surely, 2^49045530240 is an apocalyptic number.

49045530240 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 49045530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101382451200).

49045530240 is an abundant number, since it is smaller than the sum of its proper divisors (153719372160).

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

49045530240 is a wasteful number, since it uses less digits than its factorization.

49045530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 49045530240 in words is "forty-nine billion, forty-five million, five hundred thirty thousand, two hundred forty".