1001977132044 has 96 divisors (see below), whose sum is σ = 2706265497600. Its totient is φ = 282602698560.

The previous prime is 1001977132043. The next prime is 1001977132099. The reversal of 1001977132044 is 4402317791001.

1001977132044 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001977131993 and 1001977132011.

It is not an unprimeable number, because it can be changed into a prime (1001977132043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47841727 + ... + 47862665.

It is an arithmetic number, because the mean of its divisors is an integer number (28190265600).

Almost surely, 2^{1001977132044} is an apocalyptic number.

1001977132044 is a gapful number since it is divisible by the number (14) 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 1001977132044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353132748800).

1001977132044 is an abundant number, since it is smaller than the sum of its proper divisors (1704288365556).

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

1001977132044 is a wasteful number, since it uses less digits than its factorization.

1001977132044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28243 (or 28241 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 1001977132044 in words is "one trillion, one billion, nine hundred seventy-seven million, one hundred thirty-two thousand, forty-four".