49438968000 has 448 divisors, whose sum is σ = 170148625920. Its totient is φ = 12633600000.

The previous prime is 49438967957. The next prime is 49438968023. The reversal of 49438968000 is 86983494.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174695859 + ... + 174696141.

It is an arithmetic number, because the mean of its divisors is an integer number (379796040).

Almost surely, 2^49438968000 is an apocalyptic number.

49438968000 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 49438968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85074312960).

49438968000 is an abundant number, since it is smaller than the sum of its proper divisors (120709657920).

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

49438968000 is a wasteful number, since it uses less digits than its factorization.

49438968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 49438968000 in words is "forty-nine billion, four hundred thirty-eight million, nine hundred sixty-eight thousand".