424675742400000 has 3360 divisors, whose sum is σ = 1957596327441216. Its totient is φ = 89579520000000.

The previous prime is 424675742399971. The next prime is 424675742400023. The reversal of 424675742400000 is 4247576424.

It is a tau number, because it is divible by the number of its divisors (3360).

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 335 ways as a sum of consecutive naturals, for example, 106142398000 + ... + 106142402000.

Almost surely, 2^{424675742400000} is an apocalyptic number.

424675742400000 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 424675742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978798163720608).

424675742400000 is an abundant number, since it is smaller than the sum of its proper divisors (1532920585041216).

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

424675742400000 is an frugal number, since it uses more digits than its factorization.

424675742400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

Adding to 424675742400000 its reverse (4247576424), we get a palindrome (424679989976424).

The spelling of 424675742400000 in words is "four hundred twenty-four trillion, six hundred seventy-five billion, seven hundred forty-two million, four hundred thousand".