742925514240 has 1440 divisors, whose sum is σ = 3228393744576. Its totient is φ = 154581073920.

The previous prime is 742925514203. The next prime is 742925514241. The reversal of 742925514240 is 42415529247.

742925514240 is a `hidden beast` number, since 7 + 4 + 2 + 92 + 5 + 514 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742925514241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2643862900 + ... + 2643863180.

Almost surely, 2^742925514240 is an apocalyptic number.

742925514240 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 742925514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614196872288).

742925514240 is an abundant number, since it is smaller than the sum of its proper divisors (2485468230336).

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

742925514240 is a wasteful number, since it uses less digits than its factorization.

742925514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 742925514240 in words is "seven hundred forty-two billion, nine hundred twenty-five million, five hundred fourteen thousand, two hundred forty".