902240424000 has 448 divisors, whose sum is σ = 3390990220800. Its totient is φ = 234726912000.

The previous prime is 902240423977. The next prime is 902240424013. The reversal of 902240424000 is 424042209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8805061 + ... + 8906939.

It is an arithmetic number, because the mean of its divisors is an integer number (7569174600).

Almost surely, 2^902240424000 is an apocalyptic number.

902240424000 is a gapful number since it is divisible by the number (90) 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 902240424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695495110400).

902240424000 is an abundant number, since it is smaller than the sum of its proper divisors (2488749796800).

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

902240424000 is a wasteful number, since it uses less digits than its factorization.

902240424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101956 (or 101930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 902240424000 its reverse (424042209), we get a palindrome (902664466209).

The spelling of 902240424000 in words is "nine hundred two billion, two hundred forty million, four hundred twenty-four thousand".