4145428000 has 384 divisors, whose sum is σ = 12521972736. Its totient is φ = 1317888000.

The previous prime is 4145427983. The next prime is 4145428009. The reversal of 4145428000 is 8245414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4145428000.

It is not an unprimeable number, because it can be changed into a prime (4145428009) 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, 26403922 + ... + 26404078.

It is an arithmetic number, because the mean of its divisors is an integer number (32609304).

Almost surely, 2^4145428000 is an apocalyptic number.

4145428000 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 4145428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260986368).

4145428000 is an abundant number, since it is smaller than the sum of its proper divisors (8376544736).

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

4145428000 is a wasteful number, since it uses less digits than its factorization.

4145428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 4145428000 is about 64384.9982526986. The cubic root of 4145428000 is about 1606.4102213666.

The spelling of 4145428000 in words is "four billion, one hundred forty-five million, four hundred twenty-eight thousand".