4642244006400 has 5040 divisors, whose sum is σ = 23898691510848. Its totient is φ = 877879296000.

The previous prime is 4642244006381. The next prime is 4642244006443. The reversal of 4642244006400 is 46004422464.

4642244006400 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 2 + 4 + 4 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 65383718365 + ... + 65383718435.

Almost surely, 2^{4642244006400} is an apocalyptic number.

4642244006400 is a gapful number since it is divisible by the number (40) 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 4642244006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949345755424).

4642244006400 is an abundant number, since it is smaller than the sum of its proper divisors (19256447504448).

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

4642244006400 is a wasteful number, since it uses less digits than its factorization.

4642244006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4642244006400 its reverse (46004422464), we get a palindrome (4688248428864).

The spelling of 4642244006400 in words is "four trillion, six hundred forty-two billion, two hundred forty-four million, six thousand, four hundred".