1405345440 has 48 divisors (see below), whose sum is σ = 4426839648. Its totient is φ = 374758656.

The previous prime is 1405345439. The next prime is 1405345441. The reversal of 1405345440 is 445435041.

It is an interprime number because it is at equal distance from previous prime (1405345439) and next prime (1405345441).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×1405345440⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1405345398 and 1405345407.

It is not an unprimeable number, because it can be changed into a prime (1405345441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463422 + ... + 1464381.

It is an arithmetic number, because the mean of its divisors is an integer number (92225826).

Almost surely, 2^1405345440 is an apocalyptic number.

1405345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405345440 is an abundant number, since it is smaller than the sum of its proper divisors (3021494208).

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

1405345440 is a wasteful number, since it uses less digits than its factorization.

1405345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927821 (or 2927813 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1405345440 is about 37487.9372598707. The cubic root of 1405345440 is about 1120.1109158862.

The spelling of 1405345440 in words is "one billion, four hundred five million, three hundred forty-five thousand, four hundred forty".