1405115740 has 96 divisors (see below), whose sum is σ = 3564449280. Its totient is φ = 454512384.

The previous prime is 1405115731. The next prime is 1405115741. The reversal of 1405115740 is 475115041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1405115699 and 1405115708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405115741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735867 + ... + 737773.

It is an arithmetic number, because the mean of its divisors is an integer number (37129680).

Almost surely, 2^1405115740 is an apocalyptic number.

1405115740 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 1405115740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782224640).

1405115740 is an abundant number, since it is smaller than the sum of its proper divisors (2159333540).

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

1405115740 is a wasteful number, since it uses less digits than its factorization.

1405115740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 1405115740 is about 37484.8734825129. The cubic root of 1405115740 is about 1120.0498861708.

It can be divided in two parts, 14051 and 15740, that added together give a cube (29791 = 31³).

The spelling of 1405115740 in words is "one billion, four hundred five million, one hundred fifteen thousand, seven hundred forty".