400142014440 has 192 divisors, whose sum is σ = 1398490531200. Its totient is φ = 91325025792.

The previous prime is 400142014429. The next prime is 400142014453. The reversal of 400142014440 is 44410241004.

It is a happy number.

It is a super-2 number, since 2×400142014440² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400142014440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3930501 + ... + 4031019.

It is an arithmetic number, because the mean of its divisors is an integer number (7283804850).

Almost surely, 2^400142014440 is an apocalyptic number.

400142014440 is a gapful number since it is divisible by the number (40) 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 400142014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699245265600).

400142014440 is an abundant number, since it is smaller than the sum of its proper divisors (998348516760).

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

400142014440 is a wasteful number, since it uses less digits than its factorization.

400142014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101224 (or 101213 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 400142014440 its reverse (44410241004), we get a palindrome (444552255444).

The spelling of 400142014440 in words is "four hundred billion, one hundred forty-two million, fourteen thousand, four hundred forty".