1041415040000 has 220 divisors, whose sum is σ = 2627353452768. Its totient is φ = 412416000000.

The previous prime is 1041415039997. The next prime is 1041415040041. The reversal of 1041415040000 is 405141401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 64631945 + ... + 64648055.

Almost surely, 2^{1041415040000} is an apocalyptic number.

1041415040000 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 1041415040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313676726384).

1041415040000 is an abundant number, since it is smaller than the sum of its proper divisors (1585938412768).

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

1041415040000 is an equidigital number, since it uses as much as digits as its factorization.

1041415040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252 (or 16219 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 1041415040000 in words is "one trillion, forty-one billion, four hundred fifteen million, forty thousand".