424241424131400 has 384 divisors, whose sum is σ = 1483623680400000. Its totient is φ = 111402128977920.

The previous prime is 424241424131359. The next prime is 424241424131407. The reversal of 424241424131400 is 4131424142424.

424241424131400 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 1 + 4 + 241 + 3 + 1 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (424241424131407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004507476 + ... + 1004929724.

It is an arithmetic number, because the mean of its divisors is an integer number (3863603334375).

Almost surely, 2^{424241424131400} is an apocalyptic number.

424241424131400 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 424241424131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741811840200000).

424241424131400 is an abundant number, since it is smaller than the sum of its proper divisors (1059382256268600).

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

424241424131400 is a wasteful number, since it uses less digits than its factorization.

424241424131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425118 (or 425103 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 424241424131400 its reverse (4131424142424), we get a palindrome (428372848273824).

The spelling of 424241424131400 in words is "four hundred twenty-four trillion, two hundred forty-one billion, four hundred twenty-four million, one hundred thirty-one thousand, four hundred".