1949317920000 has 2880 divisors, whose sum is σ = 8827254374400. Its totient is φ = 418037760000.

The previous prime is 1949317919953. The next prime is 1949317920001. The reversal of 1949317920000 is 297139491.

1949317920000 is a `hidden beast` number, since 194 + 93 + 179 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949317920001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15348959937 + ... + 15348960063.

It is an arithmetic number, because the mean of its divisors is an integer number (3065018880).

Almost surely, 2^{1949317920000} is an apocalyptic number.

1949317920000 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 1949317920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413627187200).

1949317920000 is an abundant number, since it is smaller than the sum of its proper divisors (6877936454400).

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

1949317920000 is a wasteful number, since it uses less digits than its factorization.

1949317920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1949317920000 in words is "one trillion, nine hundred forty-nine billion, three hundred seventeen million, nine hundred twenty thousand".