1949423828352 has 1024 divisors, whose sum is σ = 7209523722240. Its totient is φ = 450366013440.

The previous prime is 1949423828347. The next prime is 1949423828381. The reversal of 1949423828352 is 2538283249491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1607108898 + ... + 1607110110.

It is an arithmetic number, because the mean of its divisors is an integer number (7040550510).

Almost surely, 2^{1949423828352} is an apocalyptic number.

1949423828352 is a gapful number since it is divisible by the number (12) 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 1949423828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604761861120).

1949423828352 is an abundant number, since it is smaller than the sum of its proper divisors (5260099893888).

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

1949423828352 is a wasteful number, since it uses less digits than its factorization.

1949423828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1399 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 1949423828352 in words is "one trillion, nine hundred forty-nine billion, four hundred twenty-three million, eight hundred twenty-eight thousand, three hundred fifty-two".