3040142240400 has 120 divisors (see below), whose sum is σ = 9739038221184. Its totient is φ = 810667200000.

The previous prime is 3040142240341. The next prime is 3040142240411. The reversal of 3040142240400 is 40422410403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34457142 + ... + 34545258.

Almost surely, 2^{3040142240400} is an apocalyptic number.

3040142240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3040142240400 is an abundant number, since it is smaller than the sum of its proper divisors (6698895980784).

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

3040142240400 is a wasteful number, since it uses less digits than its factorization.

3040142240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116889 (or 116878 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3040142240400 its reverse (40422410403), we get a palindrome (3080564650803).

The spelling of 3040142240400 in words is "three trillion, forty billion, one hundred forty-two million, two hundred forty thousand, four hundred".