3014242020400 has 180 divisors, whose sum is σ = 7919279718480. Its totient is φ = 1101929088000.

The previous prime is 3014242020347. The next prime is 3014242020421. The reversal of 3014242020400 is 40202424103.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6606861 + ... + 7048339.

It is an arithmetic number, because the mean of its divisors is an integer number (43995998436).

Almost surely, 2^{3014242020400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014242020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959639859240).

3014242020400 is an abundant number, since it is smaller than the sum of its proper divisors (4905037698080).

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

3014242020400 is a wasteful number, since it uses less digits than its factorization.

3014242020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441624 (or 441600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 3014242020400 its reverse (40202424103), we get a palindrome (3054444444503).

The spelling of 3014242020400 in words is "three trillion, fourteen billion, two hundred forty-two million, twenty thousand, four hundred".