1416378096 has 320 divisors, whose sum is σ = 4971110400. Its totient is φ = 377395200.

The previous prime is 1416378071. The next prime is 1416378097. The reversal of 1416378096 is 6908736141.

It is a happy number.

1416378096 is a `hidden beast` number, since 1 + 4 + 1 + 637 + 8 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×1416378096² = 4012253821657170432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416378097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2718316 + ... + 2718836.

It is an arithmetic number, because the mean of its divisors is an integer number (15534720).

Almost surely, 2^1416378096 is an apocalyptic number.

1416378096 is a gapful number since it is divisible by the number (16) 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 1416378096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485555200).

1416378096 is an abundant number, since it is smaller than the sum of its proper divisors (3554732304).

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

1416378096 is a wasteful number, since it uses less digits than its factorization.

1416378096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1416378096 is about 37634.7990030504. The cubic root of 1416378096 is about 1123.0344202188.

The spelling of 1416378096 in words is "one billion, four hundred sixteen million, three hundred seventy-eight thousand, ninety-six".