1047626711040 has 1088 divisors, whose sum is σ = 4227826176000. Its totient is φ = 220112879616.

The previous prime is 1047626711017. The next prime is 1047626711059. The reversal of 1047626711040 is 401176267401.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1047626711040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4383375241 + ... + 4383375479.

Almost surely, 2^{1047626711040} is an apocalyptic number.

1047626711040 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 1047626711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113913088000).

1047626711040 is an abundant number, since it is smaller than the sum of its proper divisors (3180199464960).

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

1047626711040 is an frugal number, since it uses more digits than its factorization.

1047626711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 1047626711040 in words is "one trillion, forty-seven billion, six hundred twenty-six million, seven hundred eleven thousand, forty".