400553304000 has 224 divisors, whose sum is σ = 1328471629056. Its totient is φ = 106342220800.

The previous prime is 400553303993. The next prime is 400553304007. The reversal of 400553304000 is 403355004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400553303993) and next prime (400553304007).

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 (400553304007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5411239 + ... + 5484761.

Almost surely, 2^400553304000 is an apocalyptic number.

400553304000 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 400553304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664235814528).

400553304000 is an abundant number, since it is smaller than the sum of its proper divisors (927918325056).

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

400553304000 is a wasteful number, since it uses less digits than its factorization.

400553304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73780 (or 73760 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 400553304000 its reverse (403355004), we get a palindrome (400956659004).

The spelling of 400553304000 in words is "four hundred billion, five hundred fifty-three million, three hundred four thousand".