401151744 has 144 divisors (see below), whose sum is σ = 1355907840. Its totient is φ = 114600960.

The previous prime is 401151739. The next prime is 401151757. The reversal of 401151744 is 447151104.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44239 + ... + 52529.

Almost surely, 2^401151744 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 401151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677953920).

401151744 is an abundant number, since it is smaller than the sum of its proper divisors (954756096).

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

401151744 is an equidigital number, since it uses as much as digits as its factorization.

401151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 401151744 is about 20028.7729030013. The cubic root of 401151744 is about 737.5127989352.

It can be divided in two parts, 4011 and 51744, that added together give a palindrome (55755).

The spelling of 401151744 in words is "four hundred one million, one hundred fifty-one thousand, seven hundred forty-four".