49448293440000 has 3200 divisors, whose sum is σ = 220373681848320. Its totient is φ = 9565102080000.

The previous prime is 49448293439983. The next prime is 49448293440023. The reversal of 49448293440000 is 4439284494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1595106239985 + ... + 1595106240015.

Almost surely, 2^{49448293440000} is an apocalyptic number.

49448293440000 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 49448293440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110186840924160).

49448293440000 is an abundant number, since it is smaller than the sum of its proper divisors (170925388408320).

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

49448293440000 is an frugal number, since it uses more digits than its factorization.

49448293440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 49448293440000 in words is "forty-nine trillion, four hundred forty-eight billion, two hundred ninety-three million, four hundred forty thousand".