1918715040 has 480 divisors, whose sum is σ = 7582994496. Its totient is φ = 452874240.

The previous prime is 1918715021. The next prime is 1918715053. The reversal of 1918715040 is 405178191.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1918714986 and 1918715004.

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 79 ways as a sum of consecutive naturals, for example, 6129924 + ... + 6130236.

Almost surely, 2^1918715040 is an apocalyptic number.

1918715040 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 1918715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791497248).

1918715040 is an abundant number, since it is smaller than the sum of its proper divisors (5664279456).

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

1918715040 is a wasteful number, since it uses less digits than its factorization.

1918715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1918715040 is about 43803.1396135026. The cubic root of 1918715040 is about 1242.6156717906.

The spelling of 1918715040 in words is "one billion, nine hundred eighteen million, seven hundred fifteen thousand, forty".