1406341440 has 560 divisors, whose sum is σ = 5983540992. Its totient is φ = 306561024.

The previous prime is 1406341427. The next prime is 1406341477. The reversal of 1406341440 is 441436041.

1406341440 is a `hidden beast` number, since 14 + 0 + 634 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×1406341440² = 3955592491722547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4172952 + ... + 4173288.

Almost surely, 2^1406341440 is an apocalyptic number.

1406341440 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 1406341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991770496).

1406341440 is an abundant number, since it is smaller than the sum of its proper divisors (4577199552).

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

1406341440 is a wasteful number, since it uses less digits than its factorization.

1406341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1406341440 is about 37501.2191801813. The cubic root of 1406341440 is about 1120.3754693515.

Adding to 1406341440 its reverse (441436041), we get a palindrome (1847777481).

The spelling of 1406341440 in words is "one billion, four hundred six million, three hundred forty-one thousand, four hundred forty".