10703701440 has 252 divisors, whose sum is σ = 37289076552. Its totient is φ = 2818022400.

The previous prime is 10703701417. The next prime is 10703701441. The reversal of 10703701440 is 4410730701.

It is a super-2 number, since 2×10703701440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10703701441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65666799 + ... + 65666961.

It is an arithmetic number, because the mean of its divisors is an integer number (147972526).

Almost surely, 2^10703701440 is an apocalyptic number.

10703701440 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 10703701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644538276).

10703701440 is an abundant number, since it is smaller than the sum of its proper divisors (26585375112).

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

10703701440 is a wasteful number, since it uses less digits than its factorization.

10703701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10703701440 in words is "ten billion, seven hundred three million, seven hundred one thousand, four hundred forty".