1005034100040 has 384 divisors, whose sum is σ = 3409269626880. Its totient is φ = 256486809600.

The previous prime is 1005034100029. The next prime is 1005034100051. The reversal of 1005034100040 is 400014305001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005034100029) and next prime (1005034100051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1005034099986 and 1005034100022.

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, 974814325 + ... + 974815355.

It is an arithmetic number, because the mean of its divisors is an integer number (8878306320).

Almost surely, 2^{1005034100040} is an apocalyptic number.

1005034100040 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 1005034100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704634813440).

1005034100040 is an abundant number, since it is smaller than the sum of its proper divisors (2404235526840).

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

1005034100040 is a wasteful number, since it uses less digits than its factorization.

1005034100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1005034100040 its reverse (400014305001), we get a palindrome (1405048405041).

The spelling of 1005034100040 in words is "one trillion, five billion, thirty-four million, one hundred thousand, forty".