1618634057040 has 3840 divisors, whose sum is σ = 8340666163200. Its totient is φ = 277696512000.

The previous prime is 1618634057017. The next prime is 1618634057041. The reversal of 1618634057040 is 407504368161.

1618634057040 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 6 + 34 + 0 + 570 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1618634057041) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 39478879420 + ... + 39478879460.

It is an arithmetic number, because the mean of its divisors is an integer number (2172048480).

Almost surely, 2^{1618634057040} is an apocalyptic number.

1618634057040 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 1618634057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170333081600).

1618634057040 is an abundant number, since it is smaller than the sum of its proper divisors (6722032106160).

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

1618634057040 is a wasteful number, since it uses less digits than its factorization.

1618634057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1618634057040 in words is "one trillion, six hundred eighteen billion, six hundred thirty-four million, fifty-seven thousand, forty".