1058432690640 has 320 divisors, whose sum is σ = 3581720755200. Its totient is φ = 256991035392.

The previous prime is 1058432690629. The next prime is 1058432690659. The reversal of 1058432690640 is 460962348501.

1058432690640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058432690640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1058432690640.

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, 497149096 + ... + 497151224.

It is an arithmetic number, because the mean of its divisors is an integer number (11192877360).

Almost surely, 2^{1058432690640} is an apocalyptic number.

1058432690640 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 1058432690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790860377600).

1058432690640 is an abundant number, since it is smaller than the sum of its proper divisors (2523288064560).

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

1058432690640 is a wasteful number, since it uses less digits than its factorization.

1058432690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1058432690640 in words is "one trillion, fifty-eight billion, four hundred thirty-two million, six hundred ninety thousand, six hundred forty".