401382144 has 216 divisors, whose sum is σ = 1248352560. Its totient is φ = 123641856.

The previous prime is 401382139. The next prime is 401382151. The reversal of 401382144 is 441283104.

It is a super-2 number, since 2×401382144² = 322215251044073472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320042 + ... + 2320214.

It is an arithmetic number, because the mean of its divisors is an integer number (5779410).

Almost surely, 2^401382144 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 401382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624176280).

401382144 is an abundant number, since it is smaller than the sum of its proper divisors (846970416).

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

401382144 is a wasteful number, since it uses less digits than its factorization.

401382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 401382144 is about 20034.5238026762. The cubic root of 401382144 is about 737.6539678156.

The spelling of 401382144 in words is "four hundred one million, three hundred eighty-two thousand, one hundred forty-four".