245201444040 has 256 divisors, whose sum is σ = 890246246400. Its totient is φ = 52777737216.

The previous prime is 245201444023. The next prime is 245201444051. The reversal of 245201444040 is 40444102542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 245201443989 and 245201444007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2619322 + ... + 2711318.

It is an arithmetic number, because the mean of its divisors is an integer number (3477524400).

Almost surely, 2^245201444040 is an apocalyptic number.

245201444040 is a gapful number since it is divisible by the number (20) 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 245201444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445123123200).

245201444040 is an abundant number, since it is smaller than the sum of its proper divisors (645044802360).

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

245201444040 is a wasteful number, since it uses less digits than its factorization.

245201444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92204 (or 92200 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 245201444040 its reverse (40444102542), we get a palindrome (285645546582).

The spelling of 245201444040 in words is "two hundred forty-five billion, two hundred one million, four hundred forty-four thousand, forty".