1977040845120 has 448 divisors, whose sum is σ = 6938737862400. Its totient is φ = 472936611840.

The previous prime is 1977040845107. The next prime is 1977040845121. The reversal of 1977040845120 is 215480407791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1977040845120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977040845121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534767112 + ... + 534770808.

Almost surely, 2^{1977040845120} is an apocalyptic number.

1977040845120 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 1977040845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469368931200).

1977040845120 is an abundant number, since it is smaller than the sum of its proper divisors (4961697017280).

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

1977040845120 is a wasteful number, since it uses less digits than its factorization.

1977040845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 1977040845120 in words is "one trillion, nine hundred seventy-seven billion, forty million, eight hundred forty-five thousand, one hundred twenty".