10364227570400 has 288 divisors, whose sum is σ = 30056445014400. Its totient is φ = 3447330969600.

The previous prime is 10364227570393. The next prime is 10364227570469. The reversal of 10364227570400 is 407572246301.

It is a super-3 number, since 3×10364227570400³ (a number of 40 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3780059 + ... + 5917541.

It is an arithmetic number, because the mean of its divisors is an integer number (104362656300).

Almost surely, 2^{10364227570400} is an apocalyptic number.

10364227570400 is a gapful number since it is divisible by the number (10) 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 10364227570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028222507200).

10364227570400 is an abundant number, since it is smaller than the sum of its proper divisors (19692217444000).

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

10364227570400 is a wasteful number, since it uses less digits than its factorization.

10364227570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137562 (or 2137549 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 10364227570400 in words is "ten trillion, three hundred sixty-four billion, two hundred twenty-seven million, five hundred seventy thousand, four hundred".