401151440 has 40 divisors (see below), whose sum is σ = 936723528. Its totient is φ = 159764480.

The previous prime is 401151409. The next prime is 401151467. The reversal of 401151440 is 44151104.

It can be written as a sum of positive squares in 4 ways, for example, as 11641744 + 389509696 = 3412^2 + 19736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7880 + ... + 29400.

Almost surely, 2^401151440 is an apocalyptic number.

401151440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401151440 is an abundant number, since it is smaller than the sum of its proper divisors (535572088).

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

401151440 is a wasteful number, since it uses less digits than its factorization.

401151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 401151440 is about 20028.7653139179. The cubic root of 401151440 is about 737.5126126350.

The spelling of 401151440 in words is "four hundred one million, one hundred fifty-one thousand, four hundred forty".