1071408725514 has 96 divisors (see below), whose sum is σ = 2439781344000. Its totient is φ = 339343385472.

The previous prime is 1071408725489. The next prime is 1071408725531. The reversal of 1071408725514 is 4155278041701.

1071408725514 is a `hidden beast` number, since 1 + 0 + 7 + 14 + 0 + 87 + 2 + 551 + 4 = 666.

It is a super-2 number, since 2×1071408725514² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071408725514.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12617752 + ... + 12702380.

It is an arithmetic number, because the mean of its divisors is an integer number (25414389000).

Almost surely, 2^{1071408725514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071408725514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219890672000).

1071408725514 is an abundant number, since it is smaller than the sum of its proper divisors (1368372618486).

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

1071408725514 is a wasteful number, since it uses less digits than its factorization.

1071408725514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85052 (or 85049 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 1071408725514 in words is "one trillion, seventy-one billion, four hundred eight million, seven hundred twenty-five thousand, five hundred fourteen".