1039552928640 has 1024 divisors, whose sum is σ = 3900756787200. Its totient is φ = 261310095360.

The previous prime is 1039552928633. The next prime is 1039552928699. The reversal of 1039552928640 is 468292559301.

1039552928640 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 552 + 9 + 2 + 86 + 4 + 0 = 666.

It is a super-4 number, since 4×1039552928640⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4579528207 + ... + 4579528433.

It is an arithmetic number, because the mean of its divisors is an integer number (3809332800).

Almost surely, 2^{1039552928640} is an apocalyptic number.

1039552928640 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 1039552928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950378393600).

1039552928640 is an abundant number, since it is smaller than the sum of its proper divisors (2861203858560).

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

1039552928640 is a wasteful number, since it uses less digits than its factorization.

1039552928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1039552928640 in words is "one trillion, thirty-nine billion, five hundred fifty-two million, nine hundred twenty-eight thousand, six hundred forty".