49438299456000 has 3840 divisors, whose sum is σ = 229716799183872. Its totient is φ = 10319560704000.

The previous prime is 49438299455957. The next prime is 49438299456059. The reversal of 49438299456000 is 65499283494.

49438299456000 is a `hidden beast` number, since 4 + 9 + 43 + 8 + 29 + 9 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×49438299456000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 256156991904 + ... + 256156992096.

Almost surely, 2^{49438299456000} is an apocalyptic number.

49438299456000 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 49438299456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114858399591936).

49438299456000 is an abundant number, since it is smaller than the sum of its proper divisors (180278499727872).

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

49438299456000 is a wasteful number, since it uses less digits than its factorization.

49438299456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 49438299456000 in words is "forty-nine trillion, four hundred thirty-eight billion, two hundred ninety-nine million, four hundred fifty-six thousand".