10142210114400 has 1728 divisors, whose sum is σ = 42201124955136. Its totient is φ = 2070282240000.

The previous prime is 10142210114353. The next prime is 10142210114419. The reversal of 10142210114400 is 441101224101.

It is a super-2 number, since 2×10142210114400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17577486912 + ... + 17577487488.

It is an arithmetic number, because the mean of its divisors is an integer number (24421947312).

Almost surely, 2^{10142210114400} is an apocalyptic number.

10142210114400 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 10142210114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21100562477568).

10142210114400 is an abundant number, since it is smaller than the sum of its proper divisors (32058914840736).

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

10142210114400 is a wasteful number, since it uses less digits than its factorization.

10142210114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10142210114400 its reverse (441101224101), we get a palindrome (10583311338501).

The spelling of 10142210114400 in words is "ten trillion, one hundred forty-two billion, two hundred ten million, one hundred fourteen thousand, four hundred".