10970112737340 has 288 divisors, whose sum is σ = 33883002316800. Its totient is φ = 2872465846272.

The previous prime is 10970112737329. The next prime is 10970112737393. The reversal of 10970112737340 is 4373721107901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4230663084 + ... + 4230665676.

It is an arithmetic number, because the mean of its divisors is an integer number (117649313600).

Almost surely, 2^{10970112737340} is an apocalyptic number.

10970112737340 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 10970112737340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941501158400).

10970112737340 is an abundant number, since it is smaller than the sum of its proper divisors (22912889579460).

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

10970112737340 is a wasteful number, since it uses less digits than its factorization.

10970112737340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 10970112737340 in words is "ten trillion, nine hundred seventy billion, one hundred twelve million, seven hundred thirty-seven thousand, three hundred forty".