8945420400 has 1080 divisors, whose sum is σ = 40504304880. Its totient is φ = 1811496960.

The previous prime is 8945420399. The next prime is 8945420411. The reversal of 8945420400 is 40245498.

It is a super-2 number, since 2×8945420400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 56977122 + ... + 56977278.

It is an arithmetic number, because the mean of its divisors is an integer number (37503986).

Almost surely, 2^8945420400 is an apocalyptic number.

8945420400 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 8945420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252152440).

8945420400 is an abundant number, since it is smaller than the sum of its proper divisors (31558884480).

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

8945420400 is a wasteful number, since it uses less digits than its factorization.

8945420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8945420400 is about 94580.2326070305. The cubic root of 8945420400 is about 2075.8704742826.

Adding to 8945420400 its reverse (40245498), we get a palindrome (8985665898).

The spelling of 8945420400 in words is "eight billion, nine hundred forty-five million, four hundred twenty thousand, four hundred".