401400090 has 384 divisors, whose sum is σ = 1441359360. Its totient is φ = 77137920.

The previous prime is 401400067. The next prime is 401400101. The reversal of 401400090 is 90004104.

401400090 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401400090² = 322244064504016200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12948375 + ... + 12948405.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2^401400090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401400090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720679680).

401400090 is an abundant number, since it is smaller than the sum of its proper divisors (1039959270).

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

401400090 is a wasteful number, since it uses less digits than its factorization.

401400090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401400090 is about 20034.9716745495. The cubic root of 401400090 is about 737.6649612799.

Adding to 401400090 its reverse (90004104), we get a palindrome (491404194).

The spelling of 401400090 in words is "four hundred one million, four hundred thousand, ninety".