7411459778240 has 448 divisors, whose sum is σ = 21428034969600. Its totient is φ = 2388156825600.

The previous prime is 7411459778197. The next prime is 7411459778243. The reversal of 7411459778240 is 428779541147.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7411459778240.

It is not an unprimeable number, because it can be changed into a prime (7411459778243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364350470 + ... + 364370810.

It is an arithmetic number, because the mean of its divisors is an integer number (47830435200).

Almost surely, 2^{7411459778240} is an apocalyptic number.

7411459778240 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 7411459778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714017484800).

7411459778240 is an abundant number, since it is smaller than the sum of its proper divisors (14016575191360).

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

7411459778240 is a wasteful number, since it uses less digits than its factorization.

7411459778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544 (or 20534 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 59.

The spelling of 7411459778240 in words is "seven trillion, four hundred eleven billion, four hundred fifty-nine million, seven hundred seventy-eight thousand, two hundred forty".