1405041300 has 432 divisors, whose sum is σ = 5075768880. Its totient is φ = 322560000.

The previous prime is 1405041269. The next prime is 1405041343. The reversal of 1405041300 is 31405041.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1115292816 + 289748484 = 33396^2 + 17022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13911250 + ... + 13911350.

It is an arithmetic number, because the mean of its divisors is an integer number (11749465).

Almost surely, 2^1405041300 is an apocalyptic number.

1405041300 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 1405041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537884440).

1405041300 is an abundant number, since it is smaller than the sum of its proper divisors (3670727580).

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

1405041300 is a wasteful number, since it uses less digits than its factorization.

1405041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1405041300 is about 37483.8805355049. The cubic root of 1405041300 is about 1120.0301065461.

Adding to 1405041300 its reverse (31405041), we get a palindrome (1436446341).

The spelling of 1405041300 in words is "one billion, four hundred five million, forty-one thousand, three hundred".