1956106464390 has 256 divisors, whose sum is σ = 5915481062400. Its totient is φ = 455984640000.

The previous prime is 1956106464379. The next prime is 1956106464407. The reversal of 1956106464390 is 934646016591.

It is a happy number.

1956106464390 is a `hidden beast` number, since 1 + 9 + 561 + 0 + 6 + 46 + 4 + 39 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 266823025 + ... + 266830355.

It is an arithmetic number, because the mean of its divisors is an integer number (23107347900).

Almost surely, 2^{1956106464390} is an apocalyptic number.

1956106464390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956106464390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957740531200).

1956106464390 is an abundant number, since it is smaller than the sum of its proper divisors (3959374598010).

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

1956106464390 is a wasteful number, since it uses less digits than its factorization.

1956106464390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1956106464390 in words is "one trillion, nine hundred fifty-six billion, one hundred six million, four hundred sixty-four thousand, three hundred ninety".