1958628635040 has 576 divisors, whose sum is σ = 8290000349568. Its totient is φ = 383046451200.

The previous prime is 1958628635011. The next prime is 1958628635053. The reversal of 1958628635040 is 405368268591.

It is a super-2 number, since 2×1958628635040² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4175580 + ... + 4620900.

It is an arithmetic number, because the mean of its divisors is an integer number (14392361718).

Almost surely, 2^{1958628635040} is an apocalyptic number.

1958628635040 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 1958628635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145000174784).

1958628635040 is an abundant number, since it is smaller than the sum of its proper divisors (6331371714528).

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

1958628635040 is a wasteful number, since it uses less digits than its factorization.

1958628635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445381 (or 445366 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 1958628635040 in words is "one trillion, nine hundred fifty-eight billion, six hundred twenty-eight million, six hundred thirty-five thousand, forty".