741357982909440 has 5280 divisors, whose sum is σ = 3302305276152960. Its totient is φ = 157109578629120.

The previous prime is 741357982909393. The next prime is 741357982909447. The reversal of 741357982909440 is 44909289753147.

741357982909440 is a `hidden beast` number, since 7 + 4 + 1 + 3 + 5 + 7 + 98 + 2 + 90 + 9 + 440 = 666.

It is a super-2 number, since 2×741357982909440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741357982909447) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 1673494317859 + ... + 1673494318301.

It is an arithmetic number, because the mean of its divisors is an integer number (625436605332).

Almost surely, 2^{741357982909440} 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 741357982909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651152638076480).

741357982909440 is an abundant number, since it is smaller than the sum of its proper divisors (2560947293243520).

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

741357982909440 is a wasteful number, since it uses less digits than its factorization.

741357982909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 741357982909440 in words is "seven hundred forty-one trillion, three hundred fifty-seven billion, nine hundred eighty-two million, nine hundred nine thousand, four hundred forty".