1047774126240 has 288 divisors, whose sum is σ = 3723503696640. Its totient is φ = 278234901504.

The previous prime is 1047774126229. The next prime is 1047774126271. The reversal of 1047774126240 is 426214777401.

1047774126240 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 7 + 4 + 12 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 9235942 + ... + 9348698.

It is an arithmetic number, because the mean of its divisors is an integer number (12928832280).

Almost surely, 2^{1047774126240} is an apocalyptic number.

1047774126240 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 1047774126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861751848320).

1047774126240 is an abundant number, since it is smaller than the sum of its proper divisors (2675729570400).

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

1047774126240 is a wasteful number, since it uses less digits than its factorization.

1047774126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113026 (or 113006 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 1047774126240 in words is "one trillion, forty-seven billion, seven hundred seventy-four million, one hundred twenty-six thousand, two hundred forty".