401414100 has 72 divisors (see below), whose sum is σ = 1166696160. Its totient is φ = 106558080.

The previous prime is 401414093. The next prime is 401414113. The reversal of 401414100 is 1414104.

It is a super-2 number, since 2×401414100² = 322266559357620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401414100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65779 + ... + 71621.

Almost surely, 2^401414100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583348080).

401414100 is an abundant number, since it is smaller than the sum of its proper divisors (765282060).

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

401414100 is a wasteful number, since it uses less digits than its factorization.

401414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 401414100 is about 20035.3213101263. The cubic root of 401414100 is about 737.6735433789.

Adding to 401414100 its reverse (1414104), we get a palindrome (402828204).

The spelling of 401414100 in words is "four hundred one million, four hundred fourteen thousand, one hundred".