1401366120 has 256 divisors, whose sum is σ = 5384448000. Its totient is φ = 283253760.

The previous prime is 1401366097. The next prime is 1401366137. The reversal of 1401366120 is 216631041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339831 + ... + 343929.

It is an arithmetic number, because the mean of its divisors is an integer number (21033000).

Almost surely, 2^1401366120 is an apocalyptic number.

1401366120 is a gapful number since it is divisible by the number (10) 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 1401366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692224000).

1401366120 is an abundant number, since it is smaller than the sum of its proper divisors (3983081880).

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

1401366120 is a wasteful number, since it uses less digits than its factorization.

1401366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1401366120 is about 37434.8249628605. The cubic root of 1401366120 is about 1119.0526960132.

Adding to 1401366120 its reverse (216631041), we get a palindrome (1617997161).

The spelling of 1401366120 in words is "one billion, four hundred one million, three hundred sixty-six thousand, one hundred twenty".