400340104800 has 576 divisors, whose sum is σ = 1389061094400. Its totient is φ = 99970662400.

The previous prime is 400340104763. The next prime is 400340104807. The reversal of 400340104800 is 8401043004.

It is a super-2 number, since 2×400340104800² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (400340104807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682010107 + ... + 682010693.

It is an arithmetic number, because the mean of its divisors is an integer number (2411564400).

Almost surely, 2^400340104800 is an apocalyptic number.

400340104800 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 400340104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694530547200).

400340104800 is an abundant number, since it is smaller than the sum of its proper divisors (988720989600).

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

400340104800 is a wasteful number, since it uses less digits than its factorization.

400340104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 400340104800 its reverse (8401043004), we get a palindrome (408741147804).

The spelling of 400340104800 in words is "four hundred billion, three hundred forty million, one hundred four thousand, eight hundred".