8442038246400 has 1320 divisors, whose sum is σ = 35204684613120. Its totient is φ = 1980370944000.

The previous prime is 8442038246351. The next prime is 8442038246423. The reversal of 8442038246400 is 46428302448.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×8442038246400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 707091631 + ... + 707103569.

It is an arithmetic number, because the mean of its divisors is an integer number (26670215616).

Almost surely, 2^{8442038246400} is an apocalyptic number.

8442038246400 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 8442038246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602342306560).

8442038246400 is an abundant number, since it is smaller than the sum of its proper divisors (26762646366720).

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

8442038246400 is a wasteful number, since it uses less digits than its factorization.

8442038246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12023 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 8442038246400 in words is "eight trillion, four hundred forty-two billion, thirty-eight million, two hundred forty-six thousand, four hundred".