1405061400 has 192 divisors, whose sum is σ = 4664880000. Its totient is φ = 348779520.

The previous prime is 1405061377. The next prime is 1405061401. The reversal of 1405061400 is 41605041.

1405061400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405061401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671556 + ... + 673644.

It is an arithmetic number, because the mean of its divisors is an integer number (24296250).

Almost surely, 2^1405061400 is an apocalyptic number.

1405061400 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 1405061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332440000).

1405061400 is an abundant number, since it is smaller than the sum of its proper divisors (3259818600).

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

1405061400 is a wasteful number, since it uses less digits than its factorization.

1405061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1405061400 is about 37484.1486497960. The cubic root of 1405061400 is about 1120.0354474325.

Adding to 1405061400 its reverse (41605041), we get a palindrome (1446666441).

The spelling of 1405061400 in words is "one billion, four hundred five million, sixty-one thousand, four hundred".