1401105600 has 420 divisors, whose sum is σ = 5430697800. Its totient is φ = 353341440.

The previous prime is 1401105583. The next prime is 1401105631. The reversal of 1401105600 is 65011041.

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 59 ways as a sum of consecutive naturals, for example, 2462116 + ... + 2462684.

Almost surely, 2^1401105600 is an apocalyptic number.

1401105600 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 1401105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715348900).

1401105600 is an abundant number, since it is smaller than the sum of its proper divisors (4029592200).

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

1401105600 is a wasteful number, since it uses less digits than its factorization.

1401105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1401105600 is about 37431.3451534940. The cubic root of 1401105600 is about 1118.9833461429.

Adding to 1401105600 its reverse (65011041), we get a palindrome (1466116641).

The spelling of 1401105600 in words is "one billion, four hundred one million, one hundred five thousand, six hundred".