49038741360 has 360 divisors, whose sum is σ = 198675627696. Its totient is φ = 11208637440.

The previous prime is 49038741341. The next prime is 49038741377. The reversal of 49038741360 is 6314783094.

49038741360 is a `hidden beast` number, since 490 + 38 + 74 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 926820 + ... + 978300.

Almost surely, 2^49038741360 is an apocalyptic number.

49038741360 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 49038741360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99337813848).

49038741360 is an abundant number, since it is smaller than the sum of its proper divisors (149636886336).

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

49038741360 is a wasteful number, since it uses less digits than its factorization.

49038741360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51523 (or 51498 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 49038741360 in words is "forty-nine billion, thirty-eight million, seven hundred forty-one thousand, three hundred sixty".