4145828400 has 960 divisors, whose sum is σ = 18303590400. Its totient is φ = 870912000.

The previous prime is 4145828387. The next prime is 4145828497. The reversal of 4145828400 is 48285414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67964370 + ... + 67964430.

It is an arithmetic number, because the mean of its divisors is an integer number (19066240).

Almost surely, 2^4145828400 is an apocalyptic number.

4145828400 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 4145828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151795200).

4145828400 is an abundant number, since it is smaller than the sum of its proper divisors (14157762000).

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

4145828400 is a wasteful number, since it uses less digits than its factorization.

4145828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4145828400 is about 64388.1075975991. The cubic root of 4145828400 is about 1606.4619398659.

The spelling of 4145828400 in words is "four billion, one hundred forty-five million, eight hundred twenty-eight thousand, four hundred".