10742342400 has 648 divisors, whose sum is σ = 40774734000. Its totient is φ = 2694021120.

The previous prime is 10742342393. The next prime is 10742342407. The reversal of 10742342400 is 424324701.

It is an interprime number because it is at equal distance from previous prime (10742342393) and next prime (10742342407).

It is not an unprimeable number, because it can be changed into a prime (10742342407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98553546 + ... + 98553654.

Almost surely, 2^10742342400 is an apocalyptic number.

10742342400 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 10742342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387367000).

10742342400 is an abundant number, since it is smaller than the sum of its proper divisors (30032391600).

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

10742342400 is a wasteful number, since it uses less digits than its factorization.

10742342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 10742342400 in words is "ten billion, seven hundred forty-two million, three hundred forty-two thousand, four hundred".