1047248104320 has 1536 divisors, whose sum is σ = 4311362764800. Its totient is φ = 231519928320.

The previous prime is 1047248104319. The next prime is 1047248104361. The reversal of 1047248104320 is 234018427401.

1047248104320 is a `hidden beast` number, since 10 + 472 + 48 + 104 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4696179729 + ... + 4696179951.

It is an arithmetic number, because the mean of its divisors is an integer number (2806876800).

Almost surely, 2^{1047248104320} is an apocalyptic number.

1047248104320 is a gapful number since it is divisible by the number (10) 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 1047248104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155681382400).

1047248104320 is an abundant number, since it is smaller than the sum of its proper divisors (3264114660480).

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

1047248104320 is a wasteful number, since it uses less digits than its factorization.

1047248104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1047248104320 in words is "one trillion, forty-seven billion, two hundred forty-eight million, one hundred four thousand, three hundred twenty".