1035350660400 has 240 divisors, whose sum is σ = 3912640432128. Its totient is φ = 229017600000.

The previous prime is 1035350660389. The next prime is 1035350660411. The reversal of 1035350660400 is 40660535301.

1035350660400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1035350660389) and next prime (1035350660411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1035350660400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727601 + ... + 2248400.

Almost surely, 2^{1035350660400} is an apocalyptic number.

1035350660400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035350660400 is an abundant number, since it is smaller than the sum of its proper divisors (2877289771728).

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

1035350660400 is a wasteful number, since it uses less digits than its factorization.

1035350660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976060 (or 3976049 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 1035350660400 in words is "one trillion, thirty-five billion, three hundred fifty million, six hundred sixty thousand, four hundred".