10413334041400 has 96 divisors (see below), whose sum is σ = 24292792193040. Its totient is φ = 4151268034560.

The previous prime is 10413334041389. The next prime is 10413334041401. The reversal of 10413334041400 is 414043331401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413334041401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331756507 + ... + 331787893.

Almost surely, 2^{10413334041400} is an apocalyptic number.

10413334041400 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 10413334041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146396096520).

10413334041400 is an abundant number, since it is smaller than the sum of its proper divisors (13879458151640).

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

10413334041400 is a wasteful number, since it uses less digits than its factorization.

10413334041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36953 (or 36944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10413334041400 its reverse (414043331401), we get a palindrome (10827377372801).

The spelling of 10413334041400 in words is "ten trillion, four hundred thirteen billion, three hundred thirty-four million, forty-one thousand, four hundred".