49127202432000 has 5280 divisors, whose sum is σ = 237862742832000. Its totient is φ = 9967878144000.

The previous prime is 49127202431939. The next prime is 49127202432023. The reversal of 49127202432000 is 23420272194.

It is a happy number.

49127202432000 is a `hidden beast` number, since 4 + 9 + 12 + 7 + 202 + 432 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 329712767926 + ... + 329712768074.

It is an arithmetic number, because the mean of its divisors is an integer number (45049761900).

Almost surely, 2^{49127202432000} is an apocalyptic number.

49127202432000 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 49127202432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118931371416000).

49127202432000 is an abundant number, since it is smaller than the sum of its proper divisors (188735540400000).

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

49127202432000 is a wasteful number, since it uses less digits than its factorization.

49127202432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 49127202432000 in words is "forty-nine trillion, one hundred twenty-seven billion, two hundred two million, four hundred thirty-two thousand".