4075386480 has 480 divisors, whose sum is σ = 15958978560. Its totient is φ = 954201600.

The previous prime is 4075386391. The next prime is 4075386493. The reversal of 4075386480 is 846835704.

4075386480 is a `hidden beast` number, since 40 + 7 + 53 + 86 + 480 = 666.

It is a super-2 number, since 2×4075386480² = 33217549922733580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8101909 + ... + 8102411.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^4075386480 is an apocalyptic number.

4075386480 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 4075386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

4075386480 is an abundant number, since it is smaller than the sum of its proper divisors (11883592080).

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

4075386480 is a wasteful number, since it uses less digits than its factorization.

4075386480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4075386480 is about 63838.7537472341. The cubic root of 4075386480 is about 1597.3114327008.

The spelling of 4075386480 in words is "four billion, seventy-five million, three hundred eighty-six thousand, four hundred eighty".