1013234214400 has 120 divisors (see below), whose sum is σ = 2512120178304. Its totient is φ = 405010636800.

The previous prime is 1013234214359. The next prime is 1013234214407. The reversal of 1013234214400 is 44124323101.

1013234214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013234214407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18801894 + ... + 18855706.

Almost surely, 2^{1013234214400} is an apocalyptic number.

1013234214400 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 1013234214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256060089152).

1013234214400 is an abundant number, since it is smaller than the sum of its proper divisors (1498885963904).

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

1013234214400 is an equidigital number, since it uses as much as digits as its factorization.

1013234214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55312 (or 55291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1013234214400 its reverse (44124323101), we get a palindrome (1057358537501).

The spelling of 1013234214400 in words is "one trillion, thirteen billion, two hundred thirty-four million, two hundred fourteen thousand, four hundred".