4076144640 has 384 divisors, whose sum is σ = 15142982400. Its totient is φ = 1038090240.

The previous prime is 4076144609. The next prime is 4076144717. The reversal of 4076144640 is 464416704.

4076144640 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4076144640² = 33229910252401459200, which contains 22 as substring.

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 = 4076144595 and 4076144604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358720 + ... + 6359360.

It is an arithmetic number, because the mean of its divisors is an integer number (39434850).

Almost surely, 2^4076144640 is an apocalyptic number.

4076144640 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 4076144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571491200).

4076144640 is an abundant number, since it is smaller than the sum of its proper divisors (11066837760).

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

4076144640 is a wasteful number, since it uses less digits than its factorization.

4076144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4076144640 is about 63844.6915569337. The cubic root of 4076144640 is about 1597.4104779122.

The spelling of 4076144640 in words is "four billion, seventy-six million, one hundred forty-four thousand, six hundred forty".