1916123040 has 576 divisors, whose sum is σ = 7766793216. Its totient is φ = 441925632.

The previous prime is 1916123009. The next prime is 1916123093. The reversal of 1916123040 is 403216191.

1916123040 is a `hidden beast` number, since 1 + 9 + 1 + 612 + 3 + 0 + 40 = 666.

1916123040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1916122995 and 1916123013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592369 + ... + 8592591.

It is an arithmetic number, because the mean of its divisors is an integer number (13484016).

Almost surely, 2^1916123040 is an apocalyptic number.

1916123040 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 1916123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883396608).

1916123040 is an abundant number, since it is smaller than the sum of its proper divisors (5850670176).

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

1916123040 is a wasteful number, since it uses less digits than its factorization.

1916123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1916123040 is about 43773.5426941891. The cubic root of 1916123040 is about 1242.0558681023.

The spelling of 1916123040 in words is "one billion, nine hundred sixteen million, one hundred twenty-three thousand, forty".