4350142427904 has 648 divisors, whose sum is σ = 15753214451520. Its totient is φ = 1144327274496.

The previous prime is 4350142427857. The next prime is 4350142427921. The reversal of 4350142427904 is 4097242410534.

4350142427904 is a `hidden beast` number, since 4 + 350 + 1 + 4 + 24 + 279 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4350142427904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 600264409 + ... + 600271655.

Almost surely, 2^{4350142427904} 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 4350142427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876607225760).

4350142427904 is an abundant number, since it is smaller than the sum of its proper divisors (11403072023616).

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

4350142427904 is a wasteful number, since it uses less digits than its factorization.

4350142427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4350142427904 in words is "four trillion, three hundred fifty billion, one hundred forty-two million, four hundred twenty-seven thousand, nine hundred four".