741126400 has 216 divisors, whose sum is σ = 2135113344. Its totient is φ = 249446400.

The previous prime is 741126341. The next prime is 741126437. The reversal of 741126400 is 4621147.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180684 + ... + 3180916.

It is an arithmetic number, because the mean of its divisors is an integer number (9884784).

Almost surely, 2^741126400 is an apocalyptic number.

741126400 is a gapful number since it is divisible by the number (70) 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 741126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067556672).

741126400 is an abundant number, since it is smaller than the sum of its proper divisors (1393986944).

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

741126400 is a wasteful number, since it uses less digits than its factorization.

741126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 741126400 is about 27223.6367886438. The cubic root of 741126400 is about 904.9628709979.

Adding to 741126400 its reverse (4621147), we get a palindrome (745747547).

The spelling of 741126400 in words is "seven hundred forty-one million, one hundred twenty-six thousand, four hundred".