1005247626240 has 704 divisors, whose sum is σ = 3841841041920. Its totient is φ = 221109288960.

The previous prime is 1005247626233. The next prime is 1005247626269. The reversal of 1005247626240 is 426267425001.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1005247626240² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129588442 + ... + 129596198.

Almost surely, 2^{1005247626240} is an apocalyptic number.

1005247626240 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 1005247626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920920520960).

1005247626240 is an abundant number, since it is smaller than the sum of its proper divisors (2836593415680).

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

1005247626240 is a wasteful number, since it uses less digits than its factorization.

1005247626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 1005247626240 in words is "one trillion, five billion, two hundred forty-seven million, six hundred twenty-six thousand, two hundred forty".