741434836800 has 1344 divisors, whose sum is σ = 2983301120000. Its totient is φ = 160944537600.

The previous prime is 741434836783. The next prime is 741434836841. The reversal of 741434836800 is 8638434147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 741434836800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3725803101 + ... + 3725803299.

Almost surely, 2^741434836800 is an apocalyptic number.

741434836800 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 741434836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491650560000).

741434836800 is an abundant number, since it is smaller than the sum of its proper divisors (2241866283200).

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

741434836800 is a wasteful number, since it uses less digits than its factorization.

741434836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 741434836800 in words is "seven hundred forty-one billion, four hundred thirty-four million, eight hundred thirty-six thousand, eight hundred".