4054590720 has 216 divisors, whose sum is σ = 14161547400. Its totient is φ = 1070972928.

The previous prime is 4054590713. The next prime is 4054590731. The reversal of 4054590720 is 270954504.

4054590720 is a `hidden beast` number, since 4 + 0 + 545 + 90 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 3652026624 = 20064^2 + 60432^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254066 + ... + 1257294.

Almost surely, 2^4054590720 is an apocalyptic number.

4054590720 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 4054590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080773700).

4054590720 is an abundant number, since it is smaller than the sum of its proper divisors (10106956680).

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

4054590720 is a wasteful number, since it uses less digits than its factorization.

4054590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4054590720 is about 63675.6681943739. The cubic root of 4054590720 is about 1594.5898940058.

The spelling of 4054590720 in words is "four billion, fifty-four million, five hundred ninety thousand, seven hundred twenty".