1018350741408 has 864 divisors, whose sum is σ = 3712903935552. Its totient is φ = 241532928000.

The previous prime is 1018350741313. The next prime is 1018350741409. The reversal of 1018350741408 is 8041470538101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1018350741408.

It is not an unprimeable number, because it can be changed into a prime (1018350741409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 883217760 + ... + 883218912.

It is an arithmetic number, because the mean of its divisors is an integer number (4297342518).

Almost surely, 2^{1018350741408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018350741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856451967776).

1018350741408 is an abundant number, since it is smaller than the sum of its proper divisors (2694553194144).

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

1018350741408 is a wasteful number, since it uses less digits than its factorization.

1018350741408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 1018350741408 in words is "one trillion, eighteen billion, three hundred fifty million, seven hundred forty-one thousand, four hundred eight".