10330001400 has 96 divisors (see below), whose sum is σ = 32055984000. Its totient is φ = 2751830400.

The previous prime is 10330001387. The next prime is 10330001417. The reversal of 10330001400 is 410003301.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 610251 + ... + 626949.

It is an arithmetic number, because the mean of its divisors is an integer number (333916500).

Almost surely, 2^10330001400 is an apocalyptic number.

10330001400 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 10330001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027992000).

10330001400 is an abundant number, since it is smaller than the sum of its proper divisors (21725982600).

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

10330001400 is a wasteful number, since it uses less digits than its factorization.

10330001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17749 (or 17740 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10330001400 its reverse (410003301), we get a palindrome (10740004701).

The spelling of 10330001400 in words is "ten billion, three hundred thirty million, one thousand, four hundred".