202142141450400 has 288 divisors, whose sum is σ = 660941040066048. Its totient is φ = 53661437107200.

The previous prime is 202142141450363. The next prime is 202142141450453. The reversal of 202142141450400 is 4054141241202.

It is a super-2 number, since 2×202142141450400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8711885199 + ... + 8711908401.

It is an arithmetic number, because the mean of its divisors is an integer number (2294934166896).

Almost surely, 2^{202142141450400} is an apocalyptic number.

202142141450400 is a gapful number since it is divisible by the number (20) 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 202142141450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330470520033024).

202142141450400 is an abundant number, since it is smaller than the sum of its proper divisors (458798898615648).

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

202142141450400 is a wasteful number, since it uses less digits than its factorization.

202142141450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39444 (or 39431 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 202142141450400 its reverse (4054141241202), we get a palindrome (206196282691602).

The spelling of 202142141450400 in words is "two hundred two trillion, one hundred forty-two billion, one hundred forty-one million, four hundred fifty thousand, four hundred".