2023127771040 has 72 divisors (see below), whose sum is σ = 6903923523588. Its totient is φ = 539500738560.

The previous prime is 2023127771029. The next prime is 2023127771047. The reversal of 2023127771040 is 401777213202.

2023127771040 is a `hidden beast` number, since 202 + 312 + 77 + 71 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1899732942864 + 123394828176 = 1378308^2 + 351276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2023127770986 and 2023127771004.

It is not an unprimeable number, because it can be changed into a prime (2023127771047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702473481 + ... + 702476360.

Almost surely, 2^{2023127771040} is an apocalyptic number.

2023127771040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023127771040 is an abundant number, since it is smaller than the sum of its proper divisors (4880795752548).

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

2023127771040 is a wasteful number, since it uses less digits than its factorization.

2023127771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404949862 (or 1404949851 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 2023127771040 in words is "two trillion, twenty-three billion, one hundred twenty-seven million, seven hundred seventy-one thousand, forty".