401411067 has 32 divisors (see below), whose sum is σ = 561199104. Its totient is φ = 255024000.

The previous prime is 401411057. The next prime is 401411099. The reversal of 401411067 is 760114104.

It is not a de Polignac number, because 401411067 - 2⁴ = 401411051 is a prime.

It is a super-2 number, since 2×401411067² = 322261689420156978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401411047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010913 + ... + 1011309.

It is an arithmetic number, because the mean of its divisors is an integer number (17537472).

Almost surely, 2^401411067 is an apocalyptic number.

401411067 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

401411067 is a deficient number, since it is larger than the sum of its proper divisors (159788037).

401411067 is a wasteful number, since it uses less digits than its factorization.

401411067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 401411067 is about 20035.2456186591. The cubic root of 401411067 is about 737.6716854725.

The spelling of 401411067 in words is "four hundred one million, four hundred eleven thousand, sixty-seven".