8402218734 has 256 divisors, whose sum is σ = 22592618496. Its totient is φ = 2022451200.

The previous prime is 8402218723. The next prime is 8402218787. The reversal of 8402218734 is 4378122048.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 8402218692 and 8402218701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43990579 + ... + 43990769.

It is an arithmetic number, because the mean of its divisors is an integer number (88252416).

Almost surely, 2^8402218734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402218734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296309248).

8402218734 is an abundant number, since it is smaller than the sum of its proper divisors (14190399762).

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

8402218734 is a wasteful number, since it uses less digits than its factorization.

8402218734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 8402218734 is about 91663.6172862494. The cubic root of 8402218734 is about 2032.9716751084.

The spelling of 8402218734 in words is "eight billion, four hundred two million, two hundred eighteen thousand, seven hundred thirty-four".