1956410449920 has 672 divisors, whose sum is σ = 7027857188352. Its totient is φ = 503098638336.

The previous prime is 1956410449919. The next prime is 1956410449937. The reversal of 1956410449920 is 299440146591.

1956410449920 is a `hidden beast` number, since 1 + 9 + 564 + 10 + 4 + 49 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315675417 + ... + 1315676903.

It is an arithmetic number, because the mean of its divisors is an integer number (10458120816).

Almost surely, 2^{1956410449920} is an apocalyptic number.

1956410449920 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 1956410449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513928594176).

1956410449920 is an abundant number, since it is smaller than the sum of its proper divisors (5071446738432).

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

1956410449920 is a wasteful number, since it uses less digits than its factorization.

1956410449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1956410449920 in words is "one trillion, nine hundred fifty-six billion, four hundred ten million, four hundred forty-nine thousand, nine hundred twenty".