4145555400 has 192 divisors, whose sum is σ = 15551326080. Its totient is φ = 891801600.

The previous prime is 4145555389. The next prime is 4145555411. The reversal of 4145555400 is 45555414.

4145555400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4145555389) and next prime (4145555411).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42370 + ... + 100430.

It is an arithmetic number, because the mean of its divisors is an integer number (80996490).

Almost surely, 2^4145555400 is an apocalyptic number.

4145555400 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 4145555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775663040).

4145555400 is an abundant number, since it is smaller than the sum of its proper divisors (11405770680).

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

4145555400 is a wasteful number, since it uses less digits than its factorization.

4145555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58104 (or 58095 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The square root of 4145555400 is about 64385.9876060001. The cubic root of 4145555400 is about 1606.4266776140.

The spelling of 4145555400 in words is "four billion, one hundred forty-five million, five hundred fifty-five thousand, four hundred".