1035505412000 has 192 divisors, whose sum is σ = 2559497076864. Its totient is φ = 411726182400.

The previous prime is 1035505411949. The next prime is 1035505412069. The reversal of 1035505412000 is 2145055301.

1035505412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035505412000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554635067 + ... + 554636933.

It is an arithmetic number, because the mean of its divisors is an integer number (13330713942).

Almost surely, 2^{1035505412000} is an apocalyptic number.

1035505412000 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 1035505412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279748538432).

1035505412000 is an abundant number, since it is smaller than the sum of its proper divisors (1523991664864).

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

1035505412000 is a wasteful number, since it uses less digits than its factorization.

1035505412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 1035505412000 in words is "one trillion, thirty-five billion, five hundred five million, four hundred twelve thousand".