401361345 has 64 divisors (see below), whose sum is σ = 889620480. Its totient is φ = 166795200.

The previous prime is 401361329. The next prime is 401361349. The reversal of 401361345 is 543163104.

401361345 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 613 + 45 = 666.

It is not a de Polignac number, because 401361345 - 2⁴ = 401361329 is a prime.

It is a super-2 number, since 2×401361345² = 322181858520418050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (401361349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8911 + ... + 29700.

It is an arithmetic number, because the mean of its divisors is an integer number (13900320).

Almost surely, 2^401361345 is an apocalyptic number.

401361345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401361345 is an abundant number, since it is smaller than the sum of its proper divisors (488259135).

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

401361345 is a wasteful number, since it uses less digits than its factorization.

401361345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38643 (or 38637 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 401361345 is about 20034.0047169806. The cubic root of 401361345 is about 737.6412262341.

The spelling of 401361345 in words is "four hundred one million, three hundred sixty-one thousand, three hundred forty-five".