4200345744 has 320 divisors, whose sum is σ = 13576273920. Its totient is φ = 1092833280.

The previous prime is 4200345727. The next prime is 4200345763. The reversal of 4200345744 is 4475430024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21321454 + ... + 21321650.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^4200345744 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 4200345744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

4200345744 is an abundant number, since it is smaller than the sum of its proper divisors (9375928176).

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

4200345744 is a wasteful number, since it uses less digits than its factorization.

4200345744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 4200345744 is about 64810.0744020557. The cubic root of 4200345744 is about 1613.4729172918.

Adding to 4200345744 its reverse (4475430024), we get a palindrome (8675775768).

The spelling of 4200345744 in words is "four billion, two hundred million, three hundred forty-five thousand, seven hundred forty-four".