1414388640 has 384 divisors, whose sum is σ = 5412814848. Its totient is φ = 303575040.

The previous prime is 1414388621. The next prime is 1414388659. The reversal of 1414388640 is 468834141.

It is an interprime number because it is at equal distance from previous prime (1414388621) and next prime (1414388659).

It is a super-2 number, since 2×1414388640² = 4000990449922099200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3853737 + ... + 3854103.

It is an arithmetic number, because the mean of its divisors is an integer number (14095872).

Almost surely, 2^1414388640 is an apocalyptic number.

1414388640 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 1414388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706407424).

1414388640 is an abundant number, since it is smaller than the sum of its proper divisors (3998426208).

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

1414388640 is a wasteful number, since it uses less digits than its factorization.

1414388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1414388640 is about 37608.3586453863. The cubic root of 1414388640 is about 1122.5083661329.

The spelling of 1414388640 in words is "one billion, four hundred fourteen million, three hundred eighty-eight thousand, six hundred forty".