741452500719840 has 2304 divisors, whose sum is σ = 3281888650521600. Its totient is φ = 138595458613248.

The previous prime is 741452500719767. The next prime is 741452500719907. The reversal of 741452500719840 is 48917005254147.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 15505371451 + ... + 15505419269.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430837900).

Almost surely, 2^{741452500719840} is an apocalyptic number.

741452500719840 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 741452500719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640944325260800).

741452500719840 is an abundant number, since it is smaller than the sum of its proper divisors (2540436149801760).

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

741452500719840 is a wasteful number, since it uses less digits than its factorization.

741452500719840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48057 (or 48042 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 741452500719840 in words is "seven hundred forty-one trillion, four hundred fifty-two billion, five hundred million, seven hundred nineteen thousand, eight hundred forty".