1135420416 has 297 divisors, whose sum is σ = 3686448441. Its totient is φ = 349360128.

The previous prime is 1135420393. The next prime is 1135420483. The reversal of 1135420416 is 6140245311.

It is a happy number.

The square root of 1135420416 is 33696.

It is a perfect power (a square), and thus also a powerful number.

1135420416 is a `hidden beast` number, since 113 + 542 + 0 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 967458816 = 12960^2 + 31104^2 .

It is a super-2 number, since 2×1135420416² = 2578359042139226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1135420416.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87340026 + ... + 87340038.

Almost surely, 2^1135420416 is an apocalyptic number.

1135420416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1135420416 is the 33696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135420416

1135420416 is an abundant number, since it is smaller than the sum of its proper divisors (2551028025).

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

1135420416 is an frugal number, since it uses more digits than its factorization.

1135420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 1135420416 is about 1043.2432089697.

Adding to 1135420416 its reverse (6140245311), we get a palindrome (7275665727).

The spelling of 1135420416 in words is "one billion, one hundred thirty-five million, four hundred twenty thousand, four hundred sixteen".