741434601600 has 3456 divisors, whose sum is σ = 3660768820800. Its totient is φ = 146313216000.

The previous prime is 741434601587. The next prime is 741434601631. The reversal of 741434601600 is 6106434147.

741434601600 is a `hidden beast` number, since 7 + 4 + 1 + 4 + 3 + 46 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12154665570 + ... + 12154665630.

Almost surely, 2^741434601600 is an apocalyptic number.

741434601600 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 741434601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830384410400).

741434601600 is an abundant number, since it is smaller than the sum of its proper divisors (2919334219200).

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

741434601600 is a wasteful number, since it uses less digits than its factorization.

741434601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 741434601600 in words is "seven hundred forty-one billion, four hundred thirty-four million, six hundred one thousand, six hundred".