1966419840 has 512 divisors, whose sum is σ = 8009072640. Its totient is φ = 398499840.

The previous prime is 1966419827. The next prime is 1966419863. The reversal of 1966419840 is 489146691.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1966419840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6948339 + ... + 6948621.

It is an arithmetic number, because the mean of its divisors is an integer number (15642720).

Almost surely, 2^1966419840 is an apocalyptic number.

1966419840 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 1966419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004536320).

1966419840 is an abundant number, since it is smaller than the sum of its proper divisors (6042652800).

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

1966419840 is a wasteful number, since it uses less digits than its factorization.

1966419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1966419840 is about 44344.3326705905. The cubic root of 1966419840 is about 1252.8298213877.

The spelling of 1966419840 in words is "one billion, nine hundred sixty-six million, four hundred nineteen thousand, eight hundred forty".