10007701440 has 448 divisors, whose sum is σ = 37116154368. Its totient is φ = 2257715200.

The previous prime is 10007701427. The next prime is 10007701463. The reversal of 10007701440 is 4410770001.

It is a super-2 number, since 2×10007701440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10007701440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19208380 + ... + 19208900.

Almost surely, 2^10007701440 is an apocalyptic number.

10007701440 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 10007701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558077184).

10007701440 is an abundant number, since it is smaller than the sum of its proper divisors (27108452928).

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

10007701440 is a wasteful number, since it uses less digits than its factorization.

10007701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The spelling of 10007701440 in words is "ten billion, seven million, seven hundred one thousand, four hundred forty".