402424224010000 has 200 divisors, whose sum is σ = 985419799524864. Its totient is φ = 159144419520000.

The previous prime is 402424224009953. The next prime is 402424224010051. The reversal of 402424224010000 is 10422424204.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310683702 + ... + 311976298.

Almost surely, 2^{402424224010000} is an apocalyptic number.

402424224010000 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 402424224010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492709899762432).

402424224010000 is an abundant number, since it is smaller than the sum of its proper divisors (582995575514864).

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

402424224010000 is a wasteful number, since it uses less digits than its factorization.

402424224010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292979 (or 1292958 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 402424224010000 its reverse (10422424204), we get a palindrome (402434646434204).

The spelling of 402424224010000 in words is "four hundred two trillion, four hundred twenty-four billion, two hundred twenty-four million, ten thousand".