401840457440 has 192 divisors, whose sum is σ = 1008138700800. Its totient is φ = 150937012224.

The previous prime is 401840457427. The next prime is 401840457443. The reversal of 401840457440 is 44754048104.

It is a happy number.

It is a super-2 number, since 2×401840457440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401840457443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237353234 + ... + 237354926.

It is an arithmetic number, because the mean of its divisors is an integer number (5250722400).

Almost surely, 2^401840457440 is an apocalyptic number.

401840457440 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 401840457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504069350400).

401840457440 is an abundant number, since it is smaller than the sum of its proper divisors (606298243360).

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

401840457440 is a wasteful number, since it uses less digits than its factorization.

401840457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 41.

The spelling of 401840457440 in words is "four hundred one billion, eight hundred forty million, four hundred fifty-seven thousand, four hundred forty".