49072128000 has 720 divisors, whose sum is σ = 191134891584. Its totient is φ = 11147673600.

The previous prime is 49072127969. The next prime is 49072128013. The reversal of 49072128000 is 82127094.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301055919 + ... + 301056081.

Almost surely, 2^49072128000 is an apocalyptic number.

49072128000 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 49072128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95567445792).

49072128000 is an abundant number, since it is smaller than the sum of its proper divisors (142062763584).

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

49072128000 is an equidigital number, since it uses as much as digits as its factorization.

49072128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 49072128000 in words is "forty-nine billion, seventy-two million, one hundred twenty-eight thousand".