8126425440 has 672 divisors, whose sum is σ = 33911680320. Its totient is φ = 1800548352.

The previous prime is 8126425427. The next prime is 8126425453. The reversal of 8126425440 is 445246218.

8126425440 is a `hidden beast` number, since 8 + 1 + 2 + 642 + 5 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8126425427) and next prime (8126425453).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×8126425440⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8126425395 and 8126425404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30209626 + ... + 30209894.

It is an arithmetic number, because the mean of its divisors is an integer number (50463810).

Almost surely, 2^8126425440 is an apocalyptic number.

8126425440 is a gapful number since it is divisible by the number (80) 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 8126425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955840160).

8126425440 is an abundant number, since it is smaller than the sum of its proper divisors (25785254880).

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

8126425440 is a wasteful number, since it uses less digits than its factorization.

8126425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8126425440 is about 90146.6884583122. The cubic root of 8126425440 is about 2010.4804376165.

The spelling of 8126425440 in words is "eight billion, one hundred twenty-six million, four hundred twenty-five thousand, four hundred forty".