1916780040 has 576 divisors, whose sum is σ = 7845552000. Its totient is φ = 405409536.

The previous prime is 1916780029. The next prime is 1916780057. The reversal of 1916780040 is 400876191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1916779977 and 1916780004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44576259 + ... + 44576301.

It is an arithmetic number, because the mean of its divisors is an integer number (13620750).

Almost surely, 2^1916780040 is an apocalyptic number.

1916780040 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 1916780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922776000).

1916780040 is an abundant number, since it is smaller than the sum of its proper divisors (5928771960).

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

1916780040 is a wasteful number, since it uses less digits than its factorization.

1916780040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1916780040 is about 43781.0465841099. The cubic root of 1916780040 is about 1242.1978105279.

The spelling of 1916780040 in words is "one billion, nine hundred sixteen million, seven hundred eighty thousand, forty".