10400726784 has 288 divisors, whose sum is σ = 32572399104. Its totient is φ = 2884976640.

The previous prime is 10400726761. The next prime is 10400726807. The reversal of 10400726784 is 48762700401.

It is an interprime number because it is at equal distance from previous prime (10400726761) and next prime (10400726807).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49292439 + ... + 49292649.

It is an arithmetic number, because the mean of its divisors is an integer number (113098608).

Almost surely, 2^10400726784 is an apocalyptic number.

10400726784 is a gapful number since it is divisible by the number (14) 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 10400726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286199552).

10400726784 is an abundant number, since it is smaller than the sum of its proper divisors (22171672320).

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

10400726784 is a wasteful number, since it uses less digits than its factorization.

10400726784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 10400726784 in words is "ten billion, four hundred million, seven hundred twenty-six thousand, seven hundred eighty-four".