65025037440 has 320 divisors, whose sum is σ = 253328929920. Its totient is φ = 15763507200.

The previous prime is 65025037409. The next prime is 65025037457. The reversal of 65025037440 is 4473052056.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 65025037395 and 65025037404.

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, 513225 + ... + 627255.

It is an arithmetic number, because the mean of its divisors is an integer number (791652906).

Almost surely, 2^65025037440 is an apocalyptic number.

65025037440 is a gapful number since it is divisible by the number (60) 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 65025037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126664464960).

65025037440 is an abundant number, since it is smaller than the sum of its proper divisors (188303892480).

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

65025037440 is a wasteful number, since it uses less digits than its factorization.

65025037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114073 (or 114052 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 65025037440 its reverse (4473052056), we get a palindrome (69498089496).

The spelling of 65025037440 in words is "sixty-five billion, twenty-five million, thirty-seven thousand, four hundred forty".