1958042211840 has 3360 divisors, whose sum is σ = 8994131213760. Its totient is φ = 404660551680.

The previous prime is 1958042211793. The next prime is 1958042211889. The reversal of 1958042211840 is 481122408591.

1958042211840 is a `hidden beast` number, since 1 + 9 + 580 + 4 + 2 + 21 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 67518696946 + ... + 67518696974.

It is an arithmetic number, because the mean of its divisors is an integer number (2676824766).

Almost surely, 2^{1958042211840} is an apocalyptic number.

1958042211840 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 1958042211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497065606880).

1958042211840 is an abundant number, since it is smaller than the sum of its proper divisors (7036089001920).

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

1958042211840 is a wasteful number, since it uses less digits than its factorization.

1958042211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1958042211840 in words is "one trillion, nine hundred fifty-eight billion, forty-two million, two hundred eleven thousand, eight hundred forty".