240003025400320 has 640 divisors, whose sum is σ = 739350414544896. Its totient is φ = 72623294447616.

The previous prime is 240003025400311. The next prime is 240003025400339. The reversal of 240003025400320 is 23004520300042.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×240003025400320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14504314287 + ... + 14504330833.

Almost surely, 2^{240003025400320} is an apocalyptic number.

240003025400320 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 240003025400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369675207272448).

240003025400320 is an abundant number, since it is smaller than the sum of its proper divisors (499347389144576).

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

240003025400320 is a wasteful number, since it uses less digits than its factorization.

240003025400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320 (or 19304 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 240003025400320 its reverse (23004520300042), we get a palindrome (263007545700362).

The spelling of 240003025400320 in words is "two hundred forty trillion, three billion, twenty-five million, four hundred thousand, three hundred twenty".