10742354240 has 224 divisors, whose sum is σ = 27700614144. Its totient is φ = 3957719040.

The previous prime is 10742354239. The next prime is 10742354257. The reversal of 10742354240 is 4245324701.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10742354197 and 10742354206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29270537 + ... + 29270903.

It is an arithmetic number, because the mean of its divisors is an integer number (123663456).

Almost surely, 2^10742354240 is an apocalyptic number.

10742354240 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 10742354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850307072).

10742354240 is an abundant number, since it is smaller than the sum of its proper divisors (16958259904).

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

10742354240 is a wasteful number, since it uses less digits than its factorization.

10742354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 10742354240 its reverse (4245324701), we get a palindrome (14987678941).

The spelling of 10742354240 in words is "ten billion, seven hundred forty-two million, three hundred fifty-four thousand, two hundred forty".