4005145030200 has 96 divisors (see below), whose sum is σ = 12565539504000. Its totient is φ = 1055170725760.

The previous prime is 4005145030147. The next prime is 4005145030213. The reversal of 4005145030200 is 20305415004.

4005145030200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40162500 + ... + 40262099.

It is an arithmetic number, because the mean of its divisors is an integer number (130891036500).

Almost surely, 2^{4005145030200} is an apocalyptic number.

4005145030200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005145030200 is an abundant number, since it is smaller than the sum of its proper divisors (8560394473800).

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

4005145030200 is a wasteful number, since it uses less digits than its factorization.

4005145030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80424701 (or 80424692 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 4005145030200 in words is "four trillion, five billion, one hundred forty-five million, thirty thousand, two hundred".