34144142400 has 252 divisors, whose sum is σ = 121667473200. Its totient is φ = 9081768960.

The previous prime is 34144142399. The next prime is 34144142423. The reversal of 34144142400 is 424144143.

34144142400 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 414 + 240 + 0 = 666.

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, 6030771 + ... + 6036429.

Almost surely, 2^34144142400 is an apocalyptic number.

34144142400 is a gapful number since it is divisible by the number (30) 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 34144142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60833736600).

34144142400 is an abundant number, since it is smaller than the sum of its proper divisors (87523330800).

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

34144142400 is a wasteful number, since it uses less digits than its factorization.

34144142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34144142400 its reverse (424144143), we get a palindrome (34568286543).

The spelling of 34144142400 in words is "thirty-four billion, one hundred forty-four million, one hundred forty-two thousand, four hundred".