401034132200 has 96 divisors (see below), whose sum is σ = 1004430634200. Its totient is φ = 148029480960.

The previous prime is 401034132197. The next prime is 401034132203. The reversal of 401034132200 is 2231430104.

It is an interprime number because it is at equal distance from previous prime (401034132197) and next prime (401034132203).

It can be written as a sum of positive squares in 12 ways, for example, as 66767459236 + 334266672964 = 258394^2 + 578158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (401034132203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9320336 + ... + 9363264.

Almost surely, 2^401034132200 is an apocalyptic number.

401034132200 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 401034132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502215317100).

401034132200 is an abundant number, since it is smaller than the sum of its proper divisors (603396502000).

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

401034132200 is a wasteful number, since it uses less digits than its factorization.

401034132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46551 (or 46542 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 401034132200 its reverse (2231430104), we get a palindrome (403265562304).

The spelling of 401034132200 in words is "four hundred one billion, thirty-four million, one hundred thirty-two thousand, two hundred".