34142421150400 has 168 divisors, whose sum is σ = 87171804112736. Its totient is φ = 13150870732800.

The previous prime is 34142421150391. The next prime is 34142421150401. The reversal of 34142421150400 is 405112424143.

It is a happy number.

It is a super-2 number, since 2×34142421150400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34142421150401) 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, 2769565 + ... + 8715235.

Almost surely, 2^{34142421150400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142421150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43585902056368).

34142421150400 is an abundant number, since it is smaller than the sum of its proper divisors (53029382962336).

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

34142421150400 is a wasteful number, since it uses less digits than its factorization.

34142421150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945827 (or 5945812 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 34142421150400 its reverse (405112424143), we get a palindrome (34547533574543).

The spelling of 34142421150400 in words is "thirty-four trillion, one hundred forty-two billion, four hundred twenty-one million, one hundred fifty thousand, four hundred".