1977486551040 has 1536 divisors, whose sum is σ = 8587854213120. Its totient is φ = 375128064000.

The previous prime is 1977486551003. The next prime is 1977486551077. The reversal of 1977486551040 is 401556847791.

It is an interprime number because it is at equal distance from previous prime (1977486551003) and next prime (1977486551077).

It is a tau number, because it is divible by the number of its divisors (1536).

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, 3290326740 + ... + 3290327340.

It is an arithmetic number, because the mean of its divisors is an integer number (5591050920).

Almost surely, 2^{1977486551040} is an apocalyptic number.

1977486551040 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 1977486551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293927106560).

1977486551040 is an abundant number, since it is smaller than the sum of its proper divisors (6610367662080).

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

1977486551040 is a wasteful number, since it uses less digits than its factorization.

1977486551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 1977486551040 in words is "one trillion, nine hundred seventy-seven billion, four hundred eighty-six million, five hundred fifty-one thousand, forty".