1021414416 has 80 divisors (see below), whose sum is σ = 2886511680. Its totient is φ = 308661760.

The previous prime is 1021414411. The next prime is 1021414441. The reversal of 1021414416 is 6144141201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1021414411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202906 + ... + 207878.

It is an arithmetic number, because the mean of its divisors is an integer number (36081396).

Almost surely, 2^1021414416 is an apocalyptic number.

1021414416 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 1021414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443255840).

1021414416 is an abundant number, since it is smaller than the sum of its proper divisors (1865097264).

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

1021414416 is a wasteful number, since it uses less digits than its factorization.

1021414416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1021414416 is about 31959.5747155684. The cubic root of 1021414416 is about 1007.0877833056.

Adding to 1021414416 its reverse (6144141201), we get a palindrome (7165555617).

The spelling of 1021414416 in words is "one billion, twenty-one million, four hundred fourteen thousand, four hundred sixteen".