1940414976 has 240 divisors, whose sum is σ = 6064344000. Its totient is φ = 595206144.

The previous prime is 1940414909. The next prime is 1940414977. The reversal of 1940414976 is 6794140491.

It is not an unprimeable number, because it can be changed into a prime (1940414977) 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 23 ways as a sum of consecutive naturals, for example, 3239125 + ... + 3239723.

It is an arithmetic number, because the mean of its divisors is an integer number (25268100).

Almost surely, 2^1940414976 is an apocalyptic number.

1940414976 is a gapful number since it is divisible by the number (16) 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 1940414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032172000).

1940414976 is an abundant number, since it is smaller than the sum of its proper divisors (4123929024).

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

1940414976 is a wasteful number, since it uses less digits than its factorization.

1940414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

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

The square root of 1940414976 is about 44050.1416115771. The cubic root of 1940414976 is about 1247.2826251933.

The spelling of 1940414976 in words is "one billion, nine hundred forty million, four hundred fourteen thousand, nine hundred seventy-six".