742354790400 has 432 divisors, whose sum is σ = 2723544549180. Its totient is φ = 193128038400.

The previous prime is 742354790357. The next prime is 742354790431. The reversal of 742354790400 is 4097453247.

742354790400 is a `hidden beast` number, since 7 + 4 + 235 + 4 + 7 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 266850763776 + 475504026624 = 516576^2 + 689568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18873154 + ... + 18912446.

Almost surely, 2^742354790400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742354790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361772274590).

742354790400 is an abundant number, since it is smaller than the sum of its proper divisors (1981189758780).

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

742354790400 is a wasteful number, since it uses less digits than its factorization.

742354790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39372 (or 39344 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 742354790400 in words is "seven hundred forty-two billion, three hundred fifty-four million, seven hundred ninety thousand, four hundred".