1010330011400 has 288 divisors, whose sum is σ = 2544717205800. Its totient is φ = 372752793600.

The previous prime is 1010330011399. The next prime is 1010330011409. The reversal of 1010330011400 is 41100330101.

It can be written as a sum of positive squares in 12 ways, for example, as 13834934884 + 996495076516 = 117622^2 + 998246^2 .

It is not an unprimeable number, because it can be changed into a prime (1010330011409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386062892 + ... + 386065508.

Almost surely, 2^{1010330011400} is an apocalyptic number.

1010330011400 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 1010330011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272358602900).

1010330011400 is an abundant number, since it is smaller than the sum of its proper divisors (1534387194400).

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

1010330011400 is a wasteful number, since it uses less digits than its factorization.

1010330011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010330011400 its reverse (41100330101), we get a palindrome (1051430341501).

The spelling of 1010330011400 in words is "one trillion, ten billion, three hundred thirty million, eleven thousand, four hundred".