1949399040 has 384 divisors, whose sum is σ = 6793113600. Its totient is φ = 475791360.

The previous prime is 1949399029. The next prime is 1949399041. The reversal of 1949399040 is 409939491.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949399041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21903316 + ... + 21903404.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^1949399040 is an apocalyptic number.

1949399040 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 1949399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

1949399040 is an abundant number, since it is smaller than the sum of its proper divisors (4843714560).

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

1949399040 is a wasteful number, since it uses less digits than its factorization.

1949399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 1949399040 is about 44151.9992752310. Note that the first 3 decimals coincide. The cubic root of 1949399040 is about 1249.2046225404.

The spelling of 1949399040 in words is "one billion, nine hundred forty-nine million, three hundred ninety-nine thousand, forty".