1976406048384 has 128 divisors (see below), whose sum is σ = 5264766132480. Its totient is φ = 656929505280.

The previous prime is 1976406048313. The next prime is 1976406048401. The reversal of 1976406048384 is 4838406046791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1976406048384² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377823049 + ... + 377828279.

It is an arithmetic number, because the mean of its divisors is an integer number (41130985410).

Almost surely, 2^{1976406048384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976406048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632383066240).

1976406048384 is an abundant number, since it is smaller than the sum of its proper divisors (3288360084096).

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

1976406048384 is a wasteful number, since it uses less digits than its factorization.

1976406048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 1976406048384 in words is "one trillion, nine hundred seventy-six billion, four hundred six million, forty-eight thousand, three hundred eighty-four".