240405060000 has 480 divisors, whose sum is σ = 913692624768. Its totient is φ = 54190080000.

The previous prime is 240405059971. The next prime is 240405060029. The reversal of 240405060000 is 60504042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (240405059971) and next prime (240405060029).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30656080 + ... + 30663920.

Almost surely, 2^240405060000 is an apocalyptic number.

240405060000 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 240405060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456846312384).

240405060000 is an abundant number, since it is smaller than the sum of its proper divisors (673287564768).

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

240405060000 is an equidigital number, since it uses as much as digits as its factorization.

240405060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 240405060000 its reverse (60504042), we get a palindrome (240465564042).

The spelling of 240405060000 in words is "two hundred forty billion, four hundred five million, sixty thousand".