741657561421504 has 224 divisors, whose sum is σ = 1840532115484160. Its totient is φ = 288687246262272.

The previous prime is 741657561421489. The next prime is 741657561421547. The reversal of 741657561421504 is 405124165756147.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×741657561421504² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334082344 + ... + 336295000.

It is an arithmetic number, because the mean of its divisors is an integer number (8216661229840).

Almost surely, 2^{741657561421504} 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 741657561421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920266057742080).

741657561421504 is an abundant number, since it is smaller than the sum of its proper divisors (1098874554062656).

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

741657561421504 is a wasteful number, since it uses less digits than its factorization.

741657561421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213615 (or 2213605 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 58.

The spelling of 741657561421504 in words is "seven hundred forty-one trillion, six hundred fifty-seven billion, five hundred sixty-one million, four hundred twenty-one thousand, five hundred four".