400386201600 has 1152 divisors, whose sum is σ = 1672017984000. Its totient is φ = 82103500800.

The previous prime is 400386201581. The next prime is 400386201643. The reversal of 400386201600 is 6102683004.

It is a super-2 number, since 2×400386201600² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1147238226 + ... + 1147238574.

It is an arithmetic number, because the mean of its divisors is an integer number (1451404500).

Almost surely, 2^400386201600 is an apocalyptic number.

400386201600 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 400386201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836008992000).

400386201600 is an abundant number, since it is smaller than the sum of its proper divisors (1271631782400).

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

400386201600 is a wasteful number, since it uses less digits than its factorization.

400386201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 400386201600 its reverse (6102683004), we get a palindrome (406488884604).

The spelling of 400386201600 in words is "four hundred billion, three hundred eighty-six million, two hundred one thousand, six hundred".