8401786400 has 144 divisors (see below), whose sum is σ = 23483496960. Its totient is φ = 2875392000.

The previous prime is 8401786397. The next prime is 8401786409. The reversal of 8401786400 is 46871048.

It is a super-2 number, since 2×8401786400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8401786409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4305425 + ... + 4307375.

It is an arithmetic number, because the mean of its divisors is an integer number (163079840).

Almost surely, 2^8401786400 is an apocalyptic number.

8401786400 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 8401786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741748480).

8401786400 is an abundant number, since it is smaller than the sum of its proper divisors (15081710560).

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

8401786400 is a wasteful number, since it uses less digits than its factorization.

8401786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 8401786400 is about 91661.2589920082. The cubic root of 8401786400 is about 2032.9368058325.

The spelling of 8401786400 in words is "eight billion, four hundred one million, seven hundred eighty-six thousand, four hundred".