8402066400 has 1152 divisors, whose sum is σ = 37293613056. Its totient is φ = 1592524800.

The previous prime is 8402066389. The next prime is 8402066411. The reversal of 8402066400 is 46602048.

It is an interprime number because it is at equal distance from previous prime (8402066389) and next prime (8402066411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115096764 + ... + 115096836.

It is an arithmetic number, because the mean of its divisors is an integer number (32372928).

Almost surely, 2^8402066400 is an apocalyptic number.

8402066400 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 8402066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646806528).

8402066400 is an abundant number, since it is smaller than the sum of its proper divisors (28891546656).

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

8402066400 is a wasteful number, since it uses less digits than its factorization.

8402066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8402066400 is about 91662.7863421138. The cubic root of 8402066400 is about 2032.9593889656.

Adding to 8402066400 its reverse (46602048), we get a palindrome (8448668448).

The spelling of 8402066400 in words is "eight billion, four hundred two million, sixty-six thousand, four hundred".