742041471744 has 576 divisors, whose sum is σ = 2308927582080. Its totient is φ = 237779877888.

The previous prime is 742041471737. The next prime is 742041471761. The reversal of 742041471744 is 447174140247.

742041471744 is a `hidden beast` number, since 74 + 2 + 0 + 41 + 471 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 742041471744.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2340824674 + ... + 2340824990.

It is an arithmetic number, because the mean of its divisors is an integer number (4008554830).

Almost surely, 2^742041471744 is an apocalyptic number.

742041471744 is a gapful number since it is divisible by the number (74) 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 742041471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154463791040).

742041471744 is an abundant number, since it is smaller than the sum of its proper divisors (1566886110336).

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

742041471744 is an equidigital number, since it uses as much as digits as its factorization.

742041471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 742041471744 in words is "seven hundred forty-two billion, forty-one million, four hundred seventy-one thousand, seven hundred forty-four".