10742714015040 has 672 divisors, whose sum is σ = 43039804354560. Its totient is φ = 2408522231808.

The previous prime is 10742714015017. The next prime is 10742714015057. The reversal of 10742714015040 is 4051041724701.

10742714015040 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 7 + 140 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 10742714014986 and 10742714015004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550700967 + ... + 550720473.

Almost surely, 2^{10742714015040} is an apocalyptic number.

10742714015040 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 10742714015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21519902177280).

10742714015040 is an abundant number, since it is smaller than the sum of its proper divisors (32297090339520).

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

10742714015040 is a wasteful number, since it uses less digits than its factorization.

10742714015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20059 (or 20046 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 10742714015040 its reverse (4051041724701), we get a palindrome (14793755739741).

The spelling of 10742714015040 in words is "ten trillion, seven hundred forty-two billion, seven hundred fourteen million, fifteen thousand, forty".