1949408640 has 256 divisors, whose sum is σ = 7093080000. Its totient is φ = 505626624.

The previous prime is 1949408639. The next prime is 1949408663. The reversal of 1949408640 is 468049491.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637836 + ... + 640884.

Almost surely, 2^1949408640 is an apocalyptic number.

1949408640 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 1949408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546540000).

1949408640 is an abundant number, since it is smaller than the sum of its proper divisors (5143671360).

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

1949408640 is a wasteful number, since it uses less digits than its factorization.

1949408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1949408640 is about 44152.1079904459. The cubic root of 1949408640 is about 1249.2066731459.

It can be divided in two parts, 194940 and 8640, that multiplied together give a square (1684281600 = 41040²).

The spelling of 1949408640 in words is "one billion, nine hundred forty-nine million, four hundred eight thousand, six hundred forty".