4724004142000 has 320 divisors, whose sum is σ = 13426674887808. Its totient is φ = 1584844800000.

The previous prime is 4724004141971. The next prime is 4724004142009. The reversal of 4724004142000 is 2414004274.

It is a self number, because there is not a number n which added to its sum of digits gives 4724004142000.

It is not an unprimeable number, because it can be changed into a prime (4724004142009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801083052 + ... + 801088948.

Almost surely, 2^{4724004142000} is an apocalyptic number.

4724004142000 is a gapful number since it is divisible by the number (40) 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 4724004142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713337443904).

4724004142000 is an abundant number, since it is smaller than the sum of its proper divisors (8702670745808).

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

4724004142000 is a wasteful number, since it uses less digits than its factorization.

4724004142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

Adding to 4724004142000 its reverse (2414004274), we get a palindrome (4726418146274).

The spelling of 4724004142000 in words is "four trillion, seven hundred twenty-four billion, four million, one hundred forty-two thousand".