1405967040 has 336 divisors, whose sum is σ = 5041123776. Its totient is φ = 359424000.

The previous prime is 1405967011. The next prime is 1405967041. The reversal of 1405967040 is 407695041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1405966986 and 1405967004.

It is not an unprimeable number, because it can be changed into a prime (1405967041) 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, 9310965 + ... + 9311115.

Almost surely, 2^1405967040 is an apocalyptic number.

1405967040 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 1405967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520561888).

1405967040 is an abundant number, since it is smaller than the sum of its proper divisors (3635156736).

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

1405967040 is a wasteful number, since it uses less digits than its factorization.

1405967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1405967040 is about 37496.2270101940. The cubic root of 1405967040 is about 1120.2760374039.

The spelling of 1405967040 in words is "one billion, four hundred five million, nine hundred sixty-seven thousand, forty".