7415961004800 has 432 divisors, whose sum is σ = 27291921573280. Its totient is φ = 1970437570560.

The previous prime is 7415961004799. The next prime is 7415961004877. The reversal of 7415961004800 is 84001695147.

7415961004800 is a `hidden beast` number, since 7 + 4 + 1 + 596 + 10 + 0 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 47788134 + ... + 47943066.

Almost surely, 2^{7415961004800} 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 7415961004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645960786640).

7415961004800 is an abundant number, since it is smaller than the sum of its proper divisors (19875960568480).

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

7415961004800 is a wasteful number, since it uses less digits than its factorization.

7415961004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155245 (or 155220 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 7415961004800 its reverse (84001695147), we get a palindrome (7499962699947).

The spelling of 7415961004800 in words is "seven trillion, four hundred fifteen billion, nine hundred sixty-one million, four thousand, eight hundred".