401033760 has 96 divisors (see below), whose sum is σ = 1329773760. Its totient is φ = 101311488.

The previous prime is 401033747. The next prime is 401033767. The reversal of 401033760 is 67330104.

It is a tau number, because it is divible by the number of its divisors (96).

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 401033760.

It is not an unprimeable number, because it can be changed into a prime (401033767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12867 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (13851810).

Almost surely, 2^401033760 is an apocalyptic number.

401033760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401033760 is an abundant number, since it is smaller than the sum of its proper divisors (928740000).

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

401033760 is a wasteful number, since it uses less digits than its factorization.

401033760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44010 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 401033760 is about 20025.8273237337. The cubic root of 401033760 is about 737.4404877766.

Adding to 401033760 its reverse (67330104), we get a palindrome (468363864).

The spelling of 401033760 in words is "four hundred one million, thirty-three thousand, seven hundred sixty".