1307827769040 has 480 divisors, whose sum is σ = 5019276662400. Its totient is φ = 314437552128.

The previous prime is 1307827769021. The next prime is 1307827769041. The reversal of 1307827769040 is 409677287031.

1307827769040 is a `hidden beast` number, since 1 + 307 + 8 + 277 + 69 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307827769041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10806786 + ... + 10927134.

It is an arithmetic number, because the mean of its divisors is an integer number (10456826380).

Almost surely, 2^{1307827769040} is an apocalyptic number.

1307827769040 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 1307827769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509638331200).

1307827769040 is an abundant number, since it is smaller than the sum of its proper divisors (3711448893360).

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

1307827769040 is a wasteful number, since it uses less digits than its factorization.

1307827769040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120433 (or 120415 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1307827769040 in words is "one trillion, three hundred seven billion, eight hundred twenty-seven million, seven hundred sixty-nine thousand, forty".