240405034000 has 40 divisors (see below), whose sum is σ = 581299377048. Its totient is φ = 96162012800.

The previous prime is 240405033983. The next prime is 240405034003. The reversal of 240405034000 is 430504042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77847696144 + 162557337856 = 279012^2 + 403184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (240405034003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60099259 + ... + 60103258.

Almost surely, 2^240405034000 is an apocalyptic number.

240405034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240405034000 is an abundant number, since it is smaller than the sum of its proper divisors (340894343048).

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

240405034000 is a wasteful number, since it uses less digits than its factorization.

240405034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120202540 (or 120202524 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 240405034000 its reverse (430504042), we get a palindrome (240835538042).

The spelling of 240405034000 in words is "two hundred forty billion, four hundred five million, thirty-four thousand".