240412422400000 has 864 divisors, whose sum is σ = 645919122827160. Its totient is φ = 89140101120000.

The previous prime is 240412422399997. The next prime is 240412422400109. The reversal of 240412422400000 is 4224214042.

It can be written as a sum of positive squares in 12 ways, for example, as 66926012212224 + 173486410187776 = 8180832^2 + 13171424^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1754835199932 + ... + 1754835200068.

Almost surely, 2^{240412422400000} is an apocalyptic number.

240412422400000 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 240412422400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322959561413580).

240412422400000 is an abundant number, since it is smaller than the sum of its proper divisors (405506700427160).

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

240412422400000 is an frugal number, since it uses more digits than its factorization.

240412422400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 240412422400000 its reverse (4224214042), we get a palindrome (240416646614042).

The spelling of 240412422400000 in words is "two hundred forty trillion, four hundred twelve billion, four hundred twenty-two million, four hundred thousand".