1007024608128 has 512 divisors, whose sum is σ = 3428559912960. Its totient is φ = 254269440000.

The previous prime is 1007024608103. The next prime is 1007024608141. The reversal of 1007024608128 is 8218064207001.

It is a happy number.

It is a super-2 number, since 2×1007024608128² (a number of 25 digits) contains 22 as substring.

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, 377020233 + ... + 377022903.

It is an arithmetic number, because the mean of its divisors is an integer number (6696406080).

Almost surely, 2^{1007024608128} 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 1007024608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714279956480).

1007024608128 is an abundant number, since it is smaller than the sum of its proper divisors (2421535304832).

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

1007024608128 is a wasteful number, since it uses less digits than its factorization.

1007024608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 1007024608128 in words is "one trillion, seven billion, twenty-four million, six hundred eight thousand, one hundred twenty-eight".