7341062400 has 1215 divisors, whose sum is σ = 33541400739. Its totient is φ = 1579253760.

The previous prime is 7341062381. The next prime is 7341062401. The reversal of 7341062400 is 42601437.

The square root of 7341062400 is 85680.

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

7341062400 is a `hidden beast` number, since 7 + 3 + 410 + 6 + 240 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 7169347584 = 13104^2 + 84672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7341062401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 431827192 + ... + 431827208.

Almost surely, 2^7341062400 is an apocalyptic number.

7341062400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7341062400 is the 85680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7341062400

7341062400 is an abundant number, since it is smaller than the sum of its proper divisors (26200338339).

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

7341062400 is a wasteful number, since it uses less digits than its factorization.

7341062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 7341062400 is about 1943.5078772588.

Adding to 7341062400 its reverse (42601437), we get a palindrome (7383663837).

The spelling of 7341062400 in words is "seven billion, three hundred forty-one million, sixty-two thousand, four hundred".