742261240800 has 216 divisors, whose sum is σ = 2707654589640. Its totient is φ = 191110886400.

The previous prime is 742261240789. The next prime is 742261240807. The reversal of 742261240800 is 8042162247.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742261240807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1568646 + ... + 1986245.

It is an arithmetic number, because the mean of its divisors is an integer number (12535437915).

Almost surely, 2^742261240800 is an apocalyptic number.

It is an amenable number.

742261240800 is an abundant number, since it is smaller than the sum of its proper divisors (1965393348840).

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

742261240800 is a wasteful number, since it uses less digits than its factorization.

742261240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554946 (or 3554930 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 742261240800 in words is "seven hundred forty-two billion, two hundred sixty-one million, two hundred forty thousand, eight hundred".