49126329360 has 320 divisors, whose sum is σ = 179480655360. Its totient is φ = 12308152320.

The previous prime is 49126329359. The next prime is 49126329361. The reversal of 49126329360 is 6392362194.

49126329360 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 632 + 9 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49126329359) and next prime (49126329361).

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

It is not an unprimeable number, because it can be changed into a prime (49126329361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36095080 + ... + 36096440.

It is an arithmetic number, because the mean of its divisors is an integer number (560877048).

Almost surely, 2^49126329360 is an apocalyptic number.

49126329360 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 49126329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89740327680).

49126329360 is an abundant number, since it is smaller than the sum of its proper divisors (130354326000).

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

49126329360 is a wasteful number, since it uses less digits than its factorization.

49126329360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 49126329360 in words is "forty-nine billion, one hundred twenty-six million, three hundred twenty-nine thousand, three hundred sixty".