1949942122800 has 360 divisors, whose sum is σ = 7500519078912. Its totient is φ = 431323200000.

The previous prime is 1949942122703. The next prime is 1949942122819. The reversal of 1949942122800 is 82212499491.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1287925 + ... + 2357675.

Almost surely, 2^{1949942122800} is an apocalyptic number.

1949942122800 is a gapful number since it is divisible by the number (10) 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 1949942122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750259539456).

1949942122800 is an abundant number, since it is smaller than the sum of its proper divisors (5550576956112).

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

1949942122800 is a wasteful number, since it uses less digits than its factorization.

1949942122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069817 (or 1069799 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1949942122800 in words is "one trillion, nine hundred forty-nine billion, nine hundred forty-two million, one hundred twenty-two thousand, eight hundred".