49458484887840 has 288 divisors, whose sum is σ = 192915816912000. Its totient is φ = 11303171592192.

The previous prime is 49458484887821. The next prime is 49458484887923. The reversal of 49458484887840 is 4878848485494.

49458484887840 is a `hidden beast` number, since 4 + 9 + 4 + 58 + 4 + 8 + 488 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×49458484887840² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49458484887840.

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, 70483036 + ... + 71181284.

It is an arithmetic number, because the mean of its divisors is an integer number (669846586500).

Almost surely, 2^{49458484887840} is an apocalyptic number.

49458484887840 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 49458484887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96457908456000).

49458484887840 is an abundant number, since it is smaller than the sum of its proper divisors (143457332024160).

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

49458484887840 is a wasteful number, since it uses less digits than its factorization.

49458484887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705304 (or 705293 counting only the distinct ones).

The product of its (nonzero) digits is 10569646080, while the sum is 81.

The spelling of 49458484887840 in words is "forty-nine trillion, four hundred fifty-eight billion, four hundred eighty-four million, eight hundred eighty-seven thousand, eight hundred forty".