4145004052000 has 384 divisors, whose sum is σ = 12279062315520. Its totient is φ = 1343347200000.

The previous prime is 4145004051989. The next prime is 4145004052001. The reversal of 4145004052000 is 2504005414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4145004052001) 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, 245243550 + ... + 245260450.

It is an arithmetic number, because the mean of its divisors is an integer number (31976724780).

Almost surely, 2^{4145004052000} is an apocalyptic number.

4145004052000 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 4145004052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139531157760).

4145004052000 is an abundant number, since it is smaller than the sum of its proper divisors (8134058263520).

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

4145004052000 is a wasteful number, since it uses less digits than its factorization.

4145004052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17413 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 4145004052000 its reverse (2504005414), we get a palindrome (4147508057414).

The spelling of 4145004052000 in words is "four trillion, one hundred forty-five billion, four million, fifty-two thousand".