7280401368240 has 3840 divisors, whose sum is σ = 36112888627200. Its totient is φ = 1323437875200.

The previous prime is 7280401368217. The next prime is 7280401368257. The reversal of 7280401368240 is 428631040827.

It is a happy number.

7280401368240 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 40 + 1 + 368 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 27682134349 + ... + 27682134611.

It is an arithmetic number, because the mean of its divisors is an integer number (9404398080).

Almost surely, 2^{7280401368240} is an apocalyptic number.

7280401368240 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 7280401368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056444313600).

7280401368240 is an abundant number, since it is smaller than the sum of its proper divisors (28832487258960).

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

7280401368240 is a wasteful number, since it uses less digits than its factorization.

7280401368240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 7280401368240 in words is "seven trillion, two hundred eighty billion, four hundred one million, three hundred sixty-eight thousand, two hundred forty".