400400320313400 has 384 divisors, whose sum is σ = 1358332748640000. Its totient is φ = 96762134937600.

The previous prime is 400400320313353. The next prime is 400400320313423. The reversal of 400400320313400 is 4313023004004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8151945642 + ... + 8151994758.

It is an arithmetic number, because the mean of its divisors is an integer number (3537324866250).

Almost surely, 2^{400400320313400} is an apocalyptic number.

400400320313400 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 400400320313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679166374320000).

400400320313400 is an abundant number, since it is smaller than the sum of its proper divisors (957932428326600).

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

400400320313400 is a wasteful number, since it uses less digits than its factorization.

400400320313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52999 (or 52990 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 400400320313400 its reverse (4313023004004), we get a palindrome (404713343317404).

The spelling of 400400320313400 in words is "four hundred trillion, four hundred billion, three hundred twenty million, three hundred thirteen thousand, four hundred".