4145984640 has 576 divisors, whose sum is σ = 17064665280. Its totient is φ = 908513280.

The previous prime is 4145984639. The next prime is 4145984641. The reversal of 4145984640 is 464895414.

4145984640 is a `hidden beast` number, since 4 + 14 + 598 + 4 + 6 + 40 = 666.

4145984640 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 (4145984639) and next prime (4145984641).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4145984641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38747467 + ... + 38747573.

It is an arithmetic number, because the mean of its divisors is an integer number (29626155).

Almost surely, 2^4145984640 is an apocalyptic number.

4145984640 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 4145984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532332640).

4145984640 is an abundant number, since it is smaller than the sum of its proper divisors (12918680640).

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

4145984640 is a wasteful number, since it uses less digits than its factorization.

4145984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4145984640 is about 64389.3208536944. The cubic root of 4145984640 is about 1606.4821200275.

The spelling of 4145984640 in words is "four billion, one hundred forty-five million, nine hundred eighty-four thousand, six hundred forty".