401409840 has 80 divisors (see below), whose sum is σ = 1340101728. Its totient is φ = 98807808.

The previous prime is 401409839. The next prime is 401409857. The reversal of 401409840 is 48904104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×401409840³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401409798 and 401409807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61209 + ... + 67448.

Almost surely, 2^401409840 is an apocalyptic number.

401409840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401409840 is an abundant number, since it is smaller than the sum of its proper divisors (938691888).

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

401409840 is a wasteful number, since it uses less digits than its factorization.

401409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128686 (or 128680 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 401409840 is about 20035.2149975986. The cubic root of 401409840 is about 737.6709338538.

The spelling of 401409840 in words is "four hundred one million, four hundred nine thousand, eight hundred forty".