1416334920 has 384 divisors, whose sum is σ = 5742627840. Its totient is φ = 271365120.

The previous prime is 1416334919. The next prime is 1416334921. The reversal of 1416334920 is 294336141.

It is an interprime number because it is at equal distance from previous prime (1416334919) and next prime (1416334921).

It is a super-2 number, since 2×1416334920² = 4012009211222812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1416334921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561107 + ... + 1562013.

It is an arithmetic number, because the mean of its divisors is an integer number (14954760).

Almost surely, 2^1416334920 is an apocalyptic number.

1416334920 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 1416334920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871313920).

1416334920 is an abundant number, since it is smaller than the sum of its proper divisors (4326292920).

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

1416334920 is a wasteful number, since it uses less digits than its factorization.

1416334920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1416334920 is about 37634.2253806293. The cubic root of 1416334920 is about 1123.0230088057.

The spelling of 1416334920 in words is "one billion, four hundred sixteen million, three hundred thirty-four thousand, nine hundred twenty".