401055840 has 384 divisors, whose sum is σ = 1532805120. Its totient is φ = 97542144.

The previous prime is 401055833. The next prime is 401055847. The reversal of 401055840 is 48550104.

It is an interprime number because it is at equal distance from previous prime (401055833) and next prime (401055847).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401055847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3157857 + ... + 3157983.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^401055840 is an apocalyptic number.

401055840 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 401055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766402560).

401055840 is an abundant number, since it is smaller than the sum of its proper divisors (1131749280).

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

401055840 is a wasteful number, since it uses less digits than its factorization.

401055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 401055840 is about 20026.3786042310. The cubic root of 401055840 is about 737.4540214561.

The spelling of 401055840 in words is "four hundred one million, fifty-five thousand, eight hundred forty".