4268910440025 has 576 divisors, whose sum is σ = 10668556811520. Its totient is φ = 1669538304000.

The previous prime is 4268910439993. The next prime is 4268910440051. The reversal of 4268910440025 is 5200440198624.

It is a happy number.

4268910440025 is a `hidden beast` number, since 42 + 6 + 89 + 104 + 400 + 25 = 666.

It is not a de Polignac number, because 4268910440025 - 2⁵ = 4268910439993 is a prime.

It is a super-3 number, since 3×4268910440025³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 500982765 + ... + 500991285.

It is an arithmetic number, because the mean of its divisors is an integer number (18521800020).

Almost surely, 2^{4268910440025} is an apocalyptic number.

4268910440025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4268910440025 is an abundant number, since it is smaller than the sum of its proper divisors (6399646371495).

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

4268910440025 is a wasteful number, since it uses less digits than its factorization.

4268910440025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8564 counting only the distinct ones).

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

The spelling of 4268910440025 in words is "four trillion, two hundred sixty-eight billion, nine hundred ten million, four hundred forty thousand, twenty-five".