1618849220040 has 640 divisors, whose sum is σ = 6080885395200. Its totient is φ = 383706408960.

The previous prime is 1618849220033. The next prime is 1618849220101. The reversal of 1618849220040 is 400229488161.

1618849220040 is a `hidden beast` number, since 1 + 61 + 88 + 492 + 20 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128586066 + ... + 128598654.

It is an arithmetic number, because the mean of its divisors is an integer number (9501383430).

Almost surely, 2^{1618849220040} is an apocalyptic number.

1618849220040 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 1618849220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040442697600).

1618849220040 is an abundant number, since it is smaller than the sum of its proper divisors (4462036175160).

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

1618849220040 is a wasteful number, since it uses less digits than its factorization.

1618849220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1618849220040 in words is "one trillion, six hundred eighteen billion, eight hundred forty-nine million, two hundred twenty thousand, forty".