742453415424 has 240 divisors, whose sum is σ = 2495091991392. Its totient is φ = 208126623744.

The previous prime is 742453415401. The next prime is 742453415497. The reversal of 742453415424 is 424514354247.

742453415424 is a `hidden beast` number, since 7 + 42 + 4 + 534 + 1 + 54 + 24 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 742453415424.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1492422 + ... + 1926714.

Almost surely, 2^742453415424 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 742453415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247545995696).

742453415424 is an abundant number, since it is smaller than the sum of its proper divisors (1752638575968).

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

742453415424 is a wasteful number, since it uses less digits than its factorization.

742453415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434377 (or 434358 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 45.

The spelling of 742453415424 in words is "seven hundred forty-two billion, four hundred fifty-three million, four hundred fifteen thousand, four hundred twenty-four".