49130634240 has 308 divisors, whose sum is σ = 176716511064. Its totient is φ = 13100507136.

The previous prime is 49130634193. The next prime is 49130634257. The reversal of 49130634240 is 4243603194.

It is a happy number.

49130634240 is a `hidden beast` number, since 4 + 9 + 1 + 306 + 342 + 4 + 0 = 666.

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 = 49130634195 and 49130634204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3725899 + ... + 3739061.

Almost surely, 2^49130634240 is an apocalyptic number.

49130634240 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 49130634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88358255532).

49130634240 is an abundant number, since it is smaller than the sum of its proper divisors (127585876824).

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

49130634240 is an equidigital number, since it uses as much as digits as its factorization.

49130634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13206 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 49130634240 in words is "forty-nine billion, one hundred thirty million, six hundred thirty-four thousand, two hundred forty".