401255040 has 128 divisors (see below), whose sum is σ = 1292054400. Its totient is φ = 105910272.

The previous prime is 401255021. The next prime is 401255087. The reversal of 401255040 is 40552104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401255040² = 322011214250803200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 401254998 and 401255016.

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, 196746 + ... + 198774.

It is an arithmetic number, because the mean of its divisors is an integer number (10094175).

Almost surely, 2^401255040 is an apocalyptic number.

401255040 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 401255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646027200).

401255040 is an abundant number, since it is smaller than the sum of its proper divisors (890799360).

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

401255040 is a wasteful number, since it uses less digits than its factorization.

401255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 401255040 is about 20031.3514272003. The cubic root of 401255040 is about 737.5760963326.

The spelling of 401255040 in words is "four hundred one million, two hundred fifty-five thousand, forty".