1040410002000 has 320 divisors, whose sum is σ = 3411501649920. Its totient is φ = 272732992000.

The previous prime is 1040410001993. The next prime is 1040410002013. The reversal of 1040410002000 is 2000140401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152930599 + ... + 152937401.

It is an arithmetic number, because the mean of its divisors is an integer number (10660942656).

Almost surely, 2^{1040410002000} is an apocalyptic number.

1040410002000 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 1040410002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705750824960).

1040410002000 is an abundant number, since it is smaller than the sum of its proper divisors (2371091647920).

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

1040410002000 is a wasteful number, since it uses less digits than its factorization.

1040410002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1040410002000 its reverse (2000140401), we get a palindrome (1042410142401).

The spelling of 1040410002000 in words is "one trillion, forty billion, four hundred ten million, two thousand".