10742011410 has 128 divisors (see below), whose sum is σ = 28504949760. Its totient is φ = 2574487296.

The previous prime is 10742011381. The next prime is 10742011411. The reversal of 10742011410 is 1411024701.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10742011411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2459889 + ... + 2464251.

It is an arithmetic number, because the mean of its divisors is an integer number (222694920).

Almost surely, 2^10742011410 is an apocalyptic number.

10742011410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742011410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252474880).

10742011410 is an abundant number, since it is smaller than the sum of its proper divisors (17762938350).

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

10742011410 is a wasteful number, since it uses less digits than its factorization.

10742011410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552.

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 10742011410 in words is "ten billion, seven hundred forty-two million, eleven thousand, four hundred ten".