1403201400 has 96 divisors (see below), whose sum is σ = 4411324800. Its totient is φ = 368905600.

The previous prime is 1403201399. The next prime is 1403201407. The reversal of 1403201400 is 41023041.

1403201400 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1403201400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403201407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26131 + ... + 59069.

It is an arithmetic number, because the mean of its divisors is an integer number (45951300).

Almost surely, 2^1403201400 is an apocalyptic number.

1403201400 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 1403201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205662400).

1403201400 is an abundant number, since it is smaller than the sum of its proper divisors (3008123400).

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

1403201400 is a wasteful number, since it uses less digits than its factorization.

1403201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33029 (or 33020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1403201400 is about 37459.3299459561. The cubic root of 1403201400 is about 1119.5410002682.

Adding to 1403201400 its reverse (41023041), we get a palindrome (1444224441).

The spelling of 1403201400 in words is "one billion, four hundred three million, two hundred one thousand, four hundred".