1035421310400 has 168 divisors, whose sum is σ = 3401106898560. Its totient is φ = 275782179840.

The previous prime is 1035421310381. The next prime is 1035421310459. The reversal of 1035421310400 is 40131245301.

It is a happy number.

It is a super-3 number, since 3×1035421310400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3898647 + ... + 4155753.

It is an arithmetic number, because the mean of its divisors is an integer number (20244683920).

Almost surely, 2^{1035421310400} is an apocalyptic number.

1035421310400 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 1035421310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700553449280).

1035421310400 is an abundant number, since it is smaller than the sum of its proper divisors (2365685588160).

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

1035421310400 is a wasteful number, since it uses less digits than its factorization.

1035421310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257971 (or 257956 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1035421310400 its reverse (40131245301), we get a palindrome (1075552555701).

The spelling of 1035421310400 in words is "one trillion, thirty-five billion, four hundred twenty-one million, three hundred ten thousand, four hundred".