4202364632024 has 128 divisors (see below), whose sum is σ = 9000108633600. Its totient is φ = 1823527157760.

The previous prime is 4202364631987. The next prime is 4202364632029.

4202364632024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202364632029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211514939 + ... + 211534805.

It is an arithmetic number, because the mean of its divisors is an integer number (70313348700).

Almost surely, 2^{4202364632024} 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 4202364632024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500054316800).

4202364632024 is an abundant number, since it is smaller than the sum of its proper divisors (4797744001576).

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

4202364632024 is a wasteful number, since it uses less digits than its factorization.

4202364632024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20713 (or 20709 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 4202364632024 in words is "four trillion, two hundred two billion, three hundred sixty-four million, six hundred thirty-two thousand, twenty-four".