401105616 has 80 divisors (see below), whose sum is σ = 1104840000. Its totient is φ = 124954624.

The previous prime is 401105611. The next prime is 401105623. The reversal of 401105616 is 616501104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401105611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119935 + ... + 123233.

It is an arithmetic number, because the mean of its divisors is an integer number (13810500).

Almost surely, 2^401105616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401105616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420000).

401105616 is an abundant number, since it is smaller than the sum of its proper divisors (703734384).

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

401105616 is a wasteful number, since it uses less digits than its factorization.

401105616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 401105616 is about 20027.6213265580. The cubic root of 401105616 is about 737.4845292551.

The spelling of 401105616 in words is "four hundred one million, one hundred five thousand, six hundred sixteen".