401775440 has 80 divisors (see below), whose sum is σ = 1025666496. Its totient is φ = 145152000.

The previous prime is 401775421. The next prime is 401775461. The reversal of 401775440 is 44577104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401775440² = 322847008374387200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401775397 and 401775406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142040 + ... + 144840.

Almost surely, 2^401775440 is an apocalyptic number.

401775440 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 401775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512833248).

401775440 is an abundant number, since it is smaller than the sum of its proper divisors (623891056).

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

401775440 is a wasteful number, since it uses less digits than its factorization.

401775440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 401775440 is about 20044.3368560798. The cubic root of 401775440 is about 737.8948202913.

The spelling of 401775440 in words is "four hundred one million, seven hundred seventy-five thousand, four hundred forty".