1035151363400 has 768 divisors, whose sum is σ = 3201320102400. Its totient is φ = 301916160000.

The previous prime is 1035151363331. The next prime is 1035151363459. The reversal of 1035151363400 is 43631515301.

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 191 ways as a sum of consecutive naturals, for example, 2390649584 + ... + 2390650016.

It is an arithmetic number, because the mean of its divisors is an integer number (4168385550).

Almost surely, 2^{1035151363400} is an apocalyptic number.

1035151363400 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 1035151363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600660051200).

1035151363400 is an abundant number, since it is smaller than the sum of its proper divisors (2166168739000).

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

1035151363400 is a wasteful number, since it uses less digits than its factorization.

1035151363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 1035151363400 its reverse (43631515301), we get a palindrome (1078782878701).

The spelling of 1035151363400 in words is "one trillion, thirty-five billion, one hundred fifty-one million, three hundred sixty-three thousand, four hundred".