401029440 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 90433536.

The previous prime is 401029411. The next prime is 401029457. The reversal of 401029440 is 44920104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401029440² = 321649223493427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401029440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557401 + ... + 558119.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^401029440 is an apocalyptic number.

401029440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

401029440 is an abundant number, since it is smaller than the sum of its proper divisors (1073714880).

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

401029440 is a wasteful number, since it uses less digits than its factorization.

401029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 401029440 is about 20025.7194627309. The cubic root of 401029440 is about 737.4378398247.

Adding to 401029440 its reverse (44920104), we get a palindrome (445949544).

The spelling of 401029440 in words is "four hundred one million, twenty-nine thousand, four hundred forty".