401401020400 has 60 divisors (see below), whose sum is σ = 968367702544. Its totient is φ = 159894144000.

The previous prime is 401401020373. The next prime is 401401020407. The reversal of 401401020400 is 4020104104.

It is a super-2 number, since 2×401401020400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401401020407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1985556 + ... + 2178355.

Almost surely, 2^401401020400 is an apocalyptic number.

401401020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401401020400 is an abundant number, since it is smaller than the sum of its proper divisors (566966682144).

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

401401020400 is a wasteful number, since it uses less digits than its factorization.

401401020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164170 (or 4164159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 401401020400 its reverse (4020104104), we get a palindrome (405421124504).

The spelling of 401401020400 in words is "four hundred one billion, four hundred one million, twenty thousand, four hundred".