10424200021400 has 144 divisors (see below), whose sum is σ = 26647931923200. Its totient is φ = 3789469868800.

The previous prime is 10424200021357. The next prime is 10424200021421. The reversal of 10424200021400 is 412000242401.

10424200021400 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81950249 + ... + 82077351.

It is an arithmetic number, because the mean of its divisors is an integer number (185055082800).

Almost surely, 2^{10424200021400} is an apocalyptic number.

10424200021400 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 10424200021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323965961600).

10424200021400 is an abundant number, since it is smaller than the sum of its proper divisors (16223731901800).

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

10424200021400 is a wasteful number, since it uses less digits than its factorization.

10424200021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130530 (or 130510 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10424200021400 its reverse (412000242401), we get a palindrome (10836200263801).

The spelling of 10424200021400 in words is "ten trillion, four hundred twenty-four billion, two hundred million, twenty-one thousand, four hundred".