49138047360 has 640 divisors, whose sum is σ = 183189837600. Its totient is φ = 12541132800.

The previous prime is 49138047353. The next prime is 49138047367. The reversal of 49138047360 is 6374083194.

49138047360 is a `hidden beast` number, since 4 + 91 + 38 + 0 + 473 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (49138047353) and next prime (49138047367).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49138047367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129651651 + ... + 129652029.

Almost surely, 2^49138047360 is an apocalyptic number.

49138047360 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 49138047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91594918800).

49138047360 is an abundant number, since it is smaller than the sum of its proper divisors (134051790240).

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

49138047360 is a wasteful number, since it uses less digits than its factorization.

49138047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

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

The spelling of 49138047360 in words is "forty-nine billion, one hundred thirty-eight million, forty-seven thousand, three hundred sixty".