1958242281408 has 672 divisors, whose sum is σ = 7062437894400. Its totient is φ = 529058138112.

The previous prime is 1958242281367. The next prime is 1958242281449. The reversal of 1958242281408 is 8041822428591.

1958242281408 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 2 + 4 + 228 + 1 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (1958242281367) and next prime (1958242281449).

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 1372278391 + ... + 1372279817.

It is an arithmetic number, because the mean of its divisors is an integer number (10509580200).

Almost surely, 2^{1958242281408} is an apocalyptic number.

1958242281408 is a gapful number since it is divisible by the number (18) 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 1958242281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531218947200).

1958242281408 is an abundant number, since it is smaller than the sum of its proper divisors (5104195612992).

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

1958242281408 is a wasteful number, since it uses less digits than its factorization.

1958242281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1958242281408 in words is "one trillion, nine hundred fifty-eight billion, two hundred forty-two million, two hundred eighty-one thousand, four hundred eight".