1401110400 has 96 divisors (see below), whose sum is σ = 4614939000. Its totient is φ = 373626880.

The previous prime is 1401110393. The next prime is 1401110401. The reversal of 1401110400 is 40111041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1401110400² = 3926220705976320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401110401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63375 + ... + 82574.

Almost surely, 2^1401110400 is an apocalyptic number.

1401110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401110400 is an abundant number, since it is smaller than the sum of its proper divisors (3213828600).

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

1401110400 is a wasteful number, since it uses less digits than its factorization.

1401110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145976 (or 145959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1401110400 is about 37431.4092708249. The cubic root of 1401110400 is about 1118.9846239704.

Adding to 1401110400 its reverse (40111041), we get a palindrome (1441221441).

The spelling of 1401110400 in words is "one billion, four hundred one million, one hundred ten thousand, four hundred".