742502557440 has 864 divisors, whose sum is σ = 3055941557760. Its totient is φ = 169090301952.

The previous prime is 742502557439. The next prime is 742502557457. The reversal of 742502557440 is 44755205247.

742502557440 is a `hidden beast` number, since 7 + 4 + 2 + 50 + 2 + 557 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 864379731 + ... + 864380589.

Almost surely, 2^742502557440 is an apocalyptic number.

742502557440 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 742502557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527970778880).

742502557440 is an abundant number, since it is smaller than the sum of its proper divisors (2313439000320).

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

742502557440 is an equidigital number, since it uses as much as digits as its factorization.

742502557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 742502557440 in words is "seven hundred forty-two billion, five hundred two million, five hundred fifty-seven thousand, four hundred forty".