4145040000 has 640 divisors, whose sum is σ = 16251048000. Its totient is φ = 1036800000.

The previous prime is 4145039971. The next prime is 4145040061. The reversal of 4145040000 is 405414.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41039950 + ... + 41040050.

Almost surely, 2^4145040000 is an apocalyptic number.

4145040000 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 4145040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125524000).

4145040000 is an abundant number, since it is smaller than the sum of its proper divisors (12106008000).

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

4145040000 is a wasteful number, since it uses less digits than its factorization.

4145040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4145040000 is about 64381.9850579337. The cubic root of 4145040000 is about 1606.3601013619.

Adding to 4145040000 its reverse (405414), we get a palindrome (4145445414).

The spelling of 4145040000 in words is "four billion, one hundred forty-five million, forty thousand".