4145826240 has 280 divisors, whose sum is σ = 14823868752. Its totient is φ = 1099837440.

The previous prime is 4145826221. The next prime is 4145826259. The reversal of 4145826240 is 426285414.

4145826240 is a `hidden beast` number, since 4 + 14 + 582 + 62 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4145826221) and next prime (4145826259).

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

It is a junction number, because it is equal to n+sod(n) for n = 4145826195 and 4145826204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7957180 + ... + 7957700.

Almost surely, 2^4145826240 is an apocalyptic number.

4145826240 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 4145826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411934376).

4145826240 is an abundant number, since it is smaller than the sum of its proper divisors (10678042512).

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

4145826240 is a wasteful number, since it uses less digits than its factorization.

4145826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4145826240 is about 64388.0908243132. The cubic root of 4145826240 is about 1606.4616608739.

The spelling of 4145826240 in words is "four billion, one hundred forty-five million, eight hundred twenty-six thousand, two hundred forty".