742105094400 has 648 divisors, whose sum is σ = 2691824378880. Its totient is φ = 195037839360.

The previous prime is 742105094377. The next prime is 742105094411. The reversal of 742105094400 is 4490501247.

It is a happy number.

It is a super-2 number, since 2×742105094400² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1675180579 + ... + 1675181021.

Almost surely, 2^742105094400 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 742105094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345912189440).

742105094400 is an abundant number, since it is smaller than the sum of its proper divisors (1949719284480).

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

742105094400 is a wasteful number, since it uses less digits than its factorization.

742105094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 742105094400 its reverse (4490501247), we get a palindrome (746595595647).

The spelling of 742105094400 in words is "seven hundred forty-two billion, one hundred five million, ninety-four thousand, four hundred".