1035404505040 has 20 divisors (see below), whose sum is σ = 2407315474404. Its totient is φ = 414161801984.

The previous prime is 1035404504957. The next prime is 1035404505043. The reversal of 1035404505040 is 405054045301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 287068780944 + 748335724096 = 535788^2 + 865064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1035404505040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1035404504993 and 1035404505011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035404505043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6471278077 + ... + 6471278236.

Almost surely, 2^{1035404505040} is an apocalyptic number.

1035404505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035404505040 is an abundant number, since it is smaller than the sum of its proper divisors (1371910969364).

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

1035404505040 is a wasteful number, since it uses less digits than its factorization.

1035404505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942556326 (or 12942556320 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 1035404505040 in words is "one trillion, thirty-five billion, four hundred four million, five hundred five thousand, forty".