1288874974740 has 192 divisors, whose sum is σ = 3800854278144. Its totient is φ = 325705577472.

The previous prime is 1288874974729. The next prime is 1288874974757. The reversal of 1288874974740 is 474794788821.

It is a super-2 number, since 2×1288874974740² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70742112 + ... + 70760328.

It is an arithmetic number, because the mean of its divisors is an integer number (19796116032).

Almost surely, 2^{1288874974740} is an apocalyptic number.

1288874974740 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 1288874974740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900427139072).

1288874974740 is an abundant number, since it is smaller than the sum of its proper divisors (2511979303404).

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

1288874974740 is a wasteful number, since it uses less digits than its factorization.

1288874974740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 202309632, while the sum is 69.

The spelling of 1288874974740 in words is "one trillion, two hundred eighty-eight billion, eight hundred seventy-four million, nine hundred seventy-four thousand, seven hundred forty".