84026725440 has 224 divisors, whose sum is σ = 305575313664. Its totient is φ = 19163381760.

The previous prime is 84026725417. The next prime is 84026725441. The reversal of 84026725440 is 4452762048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 84026725392 and 84026725401.

It is not an unprimeable number, because it can be changed into a prime (84026725441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057360 + ... + 3084720.

Almost surely, 2^84026725440 is an apocalyptic number.

84026725440 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 84026725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152787656832).

84026725440 is an abundant number, since it is smaller than the sum of its proper divisors (221548588224).

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

84026725440 is a wasteful number, since it uses less digits than its factorization.

84026725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27845 (or 27835 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 84026725440 in words is "eighty-four billion, twenty-six million, seven hundred twenty-five thousand, four hundred forty".