400444040400 has 480 divisors, whose sum is σ = 1333725433728. Its totient is φ = 102651494400.

The previous prime is 400444040389. The next prime is 400444040407. The reversal of 400444040400 is 4040444004.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400444040407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732072927 + ... + 732073473.

Almost surely, 2^400444040400 is an apocalyptic number.

400444040400 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 400444040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666862716864).

400444040400 is an abundant number, since it is smaller than the sum of its proper divisors (933281393328).

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

400444040400 is a wasteful number, since it uses less digits than its factorization.

400444040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400444040400 its reverse (4040444004), we get a palindrome (404484484404).

The spelling of 400444040400 in words is "four hundred billion, four hundred forty-four million, forty thousand, four hundred".