1416599640 has 192 divisors, whose sum is σ = 4705646400. Its totient is φ = 369524736.

The previous prime is 1416599621. The next prime is 1416599669. The reversal of 1416599640 is 469956141.

It is a happy number.

1416599640 is a `hidden beast` number, since 1 + 4 + 16 + 599 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3945781 + ... + 3946139.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 2^1416599640 is an apocalyptic number.

1416599640 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 1416599640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1416599640 is an abundant number, since it is smaller than the sum of its proper divisors (3289046760).

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

1416599640 is a wasteful number, since it uses less digits than its factorization.

1416599640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1416599640 is about 37637.7422277161. The cubic root of 1416599640 is about 1123.0929706316.

The spelling of 1416599640 in words is "one billion, four hundred sixteen million, five hundred ninety-nine thousand, six hundred forty".