1401661408 has 96 divisors (see below), whose sum is σ = 3290112000. Its totient is φ = 575092224.

The previous prime is 1401661399. The next prime is 1401661433. The reversal of 1401661408 is 8041661041.

It is a self number, because there is not a number n which added to its sum of digits gives 1401661408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824143 + ... + 825841.

It is an arithmetic number, because the mean of its divisors is an integer number (34272000).

Almost surely, 2^1401661408 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 1401661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

1401661408 is an abundant number, since it is smaller than the sum of its proper divisors (1888450592).

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

1401661408 is a wasteful number, since it uses less digits than its factorization.

1401661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1401661408 is about 37438.7687831745. The cubic root of 1401661408 is about 1119.1312906600.

The spelling of 1401661408 in words is "one billion, four hundred one million, six hundred sixty-one thousand, four hundred eight".