1406755440 has 480 divisors, whose sum is σ = 5515361280. Its totient is φ = 318726144.

The previous prime is 1406755439. The next prime is 1406755481. The reversal of 1406755440 is 445576041.

1406755440 is a `hidden beast` number, since 1 + 4 + 0 + 67 + 554 + 40 = 666.

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 = 1406755395 and 1406755404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5348749 + ... + 5349011.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^1406755440 is an apocalyptic number.

1406755440 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 1406755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1406755440 is an abundant number, since it is smaller than the sum of its proper divisors (4108605840).

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

1406755440 is a wasteful number, since it uses less digits than its factorization.

1406755440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1406755440 is about 37506.7385945512. The cubic root of 1406755440 is about 1120.4853975960.

The spelling of 1406755440 in words is "one billion, four hundred six million, seven hundred fifty-five thousand, four hundred forty".