10742077440 has 336 divisors, whose sum is σ = 38671214400. Its totient is φ = 2862563328.

The previous prime is 10742077391. The next prime is 10742077441. The reversal of 10742077440 is 4477024701.

10742077440 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 207 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10742077395 and 10742077404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742077441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464241 + ... + 7465679.

It is an arithmetic number, because the mean of its divisors is an integer number (115092900).

Almost surely, 2^10742077440 is an apocalyptic number.

10742077440 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 10742077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19335607200).

10742077440 is an abundant number, since it is smaller than the sum of its proper divisors (27929136960).

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

10742077440 is an frugal number, since it uses more digits than its factorization.

10742077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 10742077440 in words is "ten billion, seven hundred forty-two million, seventy-seven thousand, four hundred forty".