10330034201400 has 768 divisors, whose sum is σ = 35869132800000. Its totient is φ = 2447357552640.

The previous prime is 10330034201219. The next prime is 10330034201471. The reversal of 10330034201400 is 410243003301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3086354527 + ... + 3086357873.

It is an arithmetic number, because the mean of its divisors is an integer number (46704600000).

Almost surely, 2^{10330034201400} is an apocalyptic number.

10330034201400 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 10330034201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17934566400000).

10330034201400 is an abundant number, since it is smaller than the sum of its proper divisors (25539098598600).

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

10330034201400 is a wasteful number, since it uses less digits than its factorization.

10330034201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10330034201400 its reverse (410243003301), we get a palindrome (10740277204701).

The spelling of 10330034201400 in words is "ten trillion, three hundred thirty billion, thirty-four million, two hundred one thousand, four hundred".