1949201743104 has 1728 divisors, whose sum is σ = 7700489072640. Its totient is φ = 472084070400.

The previous prime is 1949201743063. The next prime is 1949201743199. The reversal of 1949201743104 is 4013471029491.

1949201743104 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 201 + 7 + 431 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 1949201743104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18924288717 + ... + 18924288819.

Almost surely, 2^{1949201743104} is an apocalyptic number.

1949201743104 is a gapful number since it is divisible by the number (14) 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 1949201743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850244536320).

1949201743104 is an abundant number, since it is smaller than the sum of its proper divisors (5751287329536).

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

1949201743104 is a wasteful number, since it uses less digits than its factorization.

1949201743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1949201743104 in words is "one trillion, nine hundred forty-nine billion, two hundred one million, seven hundred forty-three thousand, one hundred four".