400213850400 has 3456 divisors, whose sum is σ = 2019808224000. Its totient is φ = 75432591360.

The previous prime is 400213850381. The next prime is 400213850401. The reversal of 400213850400 is 4058312004.

400213850400 is a `hidden beast` number, since 40 + 0 + 213 + 8 + 5 + 0 + 400 = 666.

It is a super-2 number, since 2×400213850400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400213850401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6783285571 + ... + 6783285629.

It is an arithmetic number, because the mean of its divisors is an integer number (584435250).

Almost surely, 2^400213850400 is an apocalyptic number.

400213850400 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 400213850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009904112000).

400213850400 is an abundant number, since it is smaller than the sum of its proper divisors (1619594373600).

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

400213850400 is a wasteful number, since it uses less digits than its factorization.

400213850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 400213850400 in words is "four hundred billion, two hundred thirteen million, eight hundred fifty thousand, four hundred".