4541949257040 has 240 divisors, whose sum is σ = 16452770705280. Its totient is φ = 1116245007360.

The previous prime is 4541949257039. The next prime is 4541949257059. The reversal of 4541949257040 is 407529491454.

4541949257040 is a `hidden beast` number, since 4 + 5 + 41 + 9 + 492 + 5 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5521651 + ... + 6290669.

It is an arithmetic number, because the mean of its divisors is an integer number (68553211272).

Almost surely, 2^{4541949257040} is an apocalyptic number.

4541949257040 is a gapful number since it is divisible by the number (40) 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 4541949257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226385352640).

4541949257040 is an abundant number, since it is smaller than the sum of its proper divisors (11910821448240).

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

4541949257040 is a wasteful number, since it uses less digits than its factorization.

4541949257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769682 (or 769673 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4541949257040 in words is "four trillion, five hundred forty-one billion, nine hundred forty-nine million, two hundred fifty-seven thousand, forty".