1958414928096 has 96 divisors (see below), whose sum is σ = 5609780039808. Its totient is φ = 593290621440.

The previous prime is 1958414928089. The next prime is 1958414928097. The reversal of 1958414928096 is 6908294148591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958414928097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3484206 + ... + 4007058.

It is an arithmetic number, because the mean of its divisors is an integer number (58435208748).

Almost surely, 2^{1958414928096} is an apocalyptic number.

1958414928096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1958414928096 is an abundant number, since it is smaller than the sum of its proper divisors (3651365111712).

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

1958414928096 is a wasteful number, since it uses less digits than its factorization.

1958414928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526424 (or 526416 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 66.

The spelling of 1958414928096 in words is "one trillion, nine hundred fifty-eight billion, four hundred fourteen million, nine hundred twenty-eight thousand, ninety-six".