4200374016 has 144 divisors (see below), whose sum is σ = 12822584320. Its totient is φ = 1354890240.

The previous prime is 4200373981. The next prime is 4200374029. The reversal of 4200374016 is 6104730024.

4200374016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204471 + ... + 224073.

Almost surely, 2^4200374016 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 4200374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411292160).

4200374016 is an abundant number, since it is smaller than the sum of its proper divisors (8622210304).

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

4200374016 is a wasteful number, since it uses less digits than its factorization.

4200374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19659 (or 19639 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4200374016 is about 64810.2925159268. The cubic root of 4200374016 is about 1613.4765373116.

The spelling of 4200374016 in words is "four billion, two hundred million, three hundred seventy-four thousand, sixteen".