10740706142400 has 2016 divisors, whose sum is σ = 44401720330240. Its totient is φ = 2536354529280.

The previous prime is 10740706142323. The next prime is 10740706142429. The reversal of 10740706142400 is 424160704701.

It is a happy number.

10740706142400 is a `hidden beast` number, since 1 + 0 + 7 + 40 + 70 + 6 + 142 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14774010837 + ... + 14774011563.

Almost surely, 2^{10740706142400} is an apocalyptic number.

10740706142400 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 10740706142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22200860165120).

10740706142400 is an abundant number, since it is smaller than the sum of its proper divisors (33661014187840).

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

10740706142400 is a wasteful number, since it uses less digits than its factorization.

10740706142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10740706142400 in words is "ten trillion, seven hundred forty billion, seven hundred six million, one hundred forty-two thousand, four hundred".