1918418040 has 1024 divisors, whose sum is σ = 8957952000. Its totient is φ = 352788480.

The previous prime is 1918417997. The next prime is 1918418041. The reversal of 1918418040 is 408148191.

1918418040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1918417986 and 1918418004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918418041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32515531 + ... + 32515589.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2^1918418040 is an apocalyptic number.

1918418040 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 1918418040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478976000).

1918418040 is an abundant number, since it is smaller than the sum of its proper divisors (7039533960).

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

1918418040 is a wasteful number, since it uses less digits than its factorization.

1918418040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1918418040 is about 43799.7493143511. The cubic root of 1918418040 is about 1242.5515532024.

The spelling of 1918418040 in words is "one billion, nine hundred eighteen million, four hundred eighteen thousand, forty".