4020400431144 has 160 divisors (see below), whose sum is σ = 11567030428800. Its totient is φ = 1303706275200.

The previous prime is 4020400431109. The next prime is 4020400431247. The reversal of 4020400431144 is 4411340040204.

It is a super-2 number, since 2×4020400431144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243372117 + ... + 243388635.

It is an arithmetic number, because the mean of its divisors is an integer number (72293940180).

Almost surely, 2^{4020400431144} 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 4020400431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783515214400).

4020400431144 is an abundant number, since it is smaller than the sum of its proper divisors (7546629997656).

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

4020400431144 is a wasteful number, since it uses less digits than its factorization.

4020400431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26725 (or 26712 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4020400431144 its reverse (4411340040204), we get a palindrome (8431740471348).

It can be divided in two parts, 4020400 and 431144, that added together give a palindrome (4451544).

The spelling of 4020400431144 in words is "four trillion, twenty billion, four hundred million, four hundred thirty-one thousand, one hundred forty-four".