1406911440 has 160 divisors (see below), whose sum is σ = 4911685632. Its totient is φ = 330048000.

The previous prime is 1406911427. The next prime is 1406911459. The reversal of 1406911440 is 441196041.

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 = 1406911398 and 1406911407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73245 + ... + 90435.

Almost surely, 2^1406911440 is an apocalyptic number.

1406911440 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 1406911440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455842816).

1406911440 is an abundant number, since it is smaller than the sum of its proper divisors (3504774192).

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

1406911440 is a wasteful number, since it uses less digits than its factorization.

1406911440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17249 (or 17243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1406911440 is about 37508.8181632000. The cubic root of 1406911440 is about 1120.5268142384.

The spelling of 1406911440 in words is "one billion, four hundred six million, nine hundred eleven thousand, four hundred forty".