1816151040 has 264 divisors, whose sum is σ = 6866915328. Its totient is φ = 440156160.

The previous prime is 1816151023. The next prime is 1816151083. The reversal of 1816151040 is 401516181.

1816151040 is a `hidden beast` number, since 1 + 8 + 1 + 615 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 1816150995 and 1816151013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505089 + ... + 508671.

Almost surely, 2^1816151040 is an apocalyptic number.

1816151040 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 1816151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433457664).

1816151040 is an abundant number, since it is smaller than the sum of its proper divisors (5050764288).

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

1816151040 is a wasteful number, since it uses less digits than its factorization.

1816151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1816151040 is about 42616.3236330869. The cubic root of 1816151040 is about 1220.0678632858.

The spelling of 1816151040 in words is "one billion, eight hundred sixteen million, one hundred fifty-one thousand, forty".