2418813365040 has 480 divisors, whose sum is σ = 8990728306560. Its totient is φ = 579660939264.

The previous prime is 2418813365021. The next prime is 2418813365069. The reversal of 2418813365040 is 405633188142.

2418813365040 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 8 + 133 + 6 + 504 + 0 = 666.

It is a super-2 number, since 2×2418813365040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 166934116 + ... + 166948604.

It is an arithmetic number, because the mean of its divisors is an integer number (18730683972).

Almost surely, 2^{2418813365040} is an apocalyptic number.

2418813365040 is a gapful number since it is divisible by the number (20) 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 2418813365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495364153280).

2418813365040 is an abundant number, since it is smaller than the sum of its proper divisors (6571914941520).

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

2418813365040 is a wasteful number, since it uses less digits than its factorization.

2418813365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15141 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2418813365040 in words is "two trillion, four hundred eighteen billion, eight hundred thirteen million, three hundred sixty-five thousand, forty".