1018099031040 has 1760 divisors, whose sum is σ = 4583913586560. Its totient is φ = 210340675584.

The previous prime is 1018099031021. The next prime is 1018099031071. The reversal of 1018099031040 is 401309908101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1018099030986 and 1018099031004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2000194306 + ... + 2000194814.

It is an arithmetic number, because the mean of its divisors is an integer number (2604496356).

Almost surely, 2^{1018099031040} is an apocalyptic number.

1018099031040 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 1018099031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291956793280).

1018099031040 is an abundant number, since it is smaller than the sum of its proper divisors (3565814555520).

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

1018099031040 is a wasteful number, since it uses less digits than its factorization.

1018099031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1018099031040 in words is "one trillion, eighteen billion, ninety-nine million, thirty-one thousand, forty".