240401320400 has 30 divisors (see below), whose sum is σ = 577564173222. Its totient is φ = 96160528000.

The previous prime is 240401320361. The next prime is 240401320493. The reversal of 240401320400 is 4023104042.

It can be written as a sum of positive squares in 3 ways, for example, as 41506727824 + 198894592576 = 203732^2 + 445976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300501251 + ... + 300502050.

Almost surely, 2^240401320400 is an apocalyptic number.

240401320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240401320400 is an abundant number, since it is smaller than the sum of its proper divisors (337162852822).

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

240401320400 is a wasteful number, since it uses less digits than its factorization.

240401320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601003319 (or 601003308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 240401320400 its reverse (4023104042), we get a palindrome (244424424442).

The spelling of 240401320400 in words is "two hundred forty billion, four hundred one million, three hundred twenty thousand, four hundred".