401403253440 has 224 divisors, whose sum is σ = 1461122832384. Its totient is φ = 91459399680.

The previous prime is 401403253429. The next prime is 401403253477. The reversal of 401403253440 is 44352304104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401403253440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401403253398 and 401403253407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2036025 + ... + 2224455.

Almost surely, 2^401403253440 is an apocalyptic number.

401403253440 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 401403253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730561416192).

401403253440 is an abundant number, since it is smaller than the sum of its proper divisors (1059719578944).

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

401403253440 is a wasteful number, since it uses less digits than its factorization.

401403253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188775 (or 188765 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 401403253440 its reverse (44352304104), we get a palindrome (445755557544).

The spelling of 401403253440 in words is "four hundred one billion, four hundred three million, two hundred fifty-three thousand, four hundred forty".