4521407040 has 560 divisors, whose sum is σ = 17631972864. Its totient is φ = 1094860800.

The previous prime is 4521407039. The next prime is 4521407063. The reversal of 4521407040 is 407041254.

4521407040 is a `hidden beast` number, since 452 + 140 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4521406995 and 4521407013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13659675 + ... + 13660005.

Almost surely, 2^4521407040 is an apocalyptic number.

4521407040 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 4521407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815986432).

4521407040 is an abundant number, since it is smaller than the sum of its proper divisors (13110565824).

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

4521407040 is a wasteful number, since it uses less digits than its factorization.

4521407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4521407040 is about 67241.4086705506. The cubic root of 4521407040 is about 1653.5774281183.

Adding to 4521407040 its reverse (407041254), we get a palindrome (4928448294).

The spelling of 4521407040 in words is "four billion, five hundred twenty-one million, four hundred seven thousand, forty".