416008263825 has 288 divisors, whose sum is σ = 978199891200. Its totient is φ = 169612185600.

The previous prime is 416008263799. The next prime is 416008263829. The reversal of 416008263825 is 528362800614.

416008263825 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 0 + 8 + 2 + 638 + 2 + 5 = 666.

It is not a de Polignac number, because 416008263825 - 2⁶ = 416008263761 is a prime.

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 (416008263829) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30294561 + ... + 30308289.

It is an arithmetic number, because the mean of its divisors is an integer number (3396527400).

Almost surely, 2^416008263825 is an apocalyptic number.

416008263825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416008263825 is an abundant number, since it is smaller than the sum of its proper divisors (562191627375).

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

416008263825 is a wasteful number, since it uses less digits than its factorization.

416008263825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13808 counting only the distinct ones).

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

The spelling of 416008263825 in words is "four hundred sixteen billion, eight million, two hundred sixty-three thousand, eight hundred twenty-five".