400436043600 has 120 divisors (see below), whose sum is σ = 1283380135200. Its totient is φ = 106728834560.

The previous prime is 400436043583. The next prime is 400436043607. The reversal of 400436043600 is 6340634004.

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

It is a super-2 number, since 2×400436043600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400436043607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312851 + ... + 2479949.

It is an arithmetic number, because the mean of its divisors is an integer number (10694834460).

Almost surely, 2^400436043600 is an apocalyptic number.

400436043600 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 400436043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641690067600).

400436043600 is an abundant number, since it is smaller than the sum of its proper divisors (882944091600).

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

400436043600 is a wasteful number, since it uses less digits than its factorization.

400436043600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169117 (or 169106 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 400436043600 its reverse (6340634004), we get a palindrome (406776677604).

The spelling of 400436043600 in words is "four hundred billion, four hundred thirty-six million, forty-three thousand, six hundred".