10042370777600 has 1080 divisors, whose sum is σ = 32355653162580. Its totient is φ = 3068830679040.

The previous prime is 10042370777597. The next prime is 10042370777611. The reversal of 10042370777600 is 677707324001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4983038281984 + 5059332495616 = 2232272^2 + 2249296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3849125096 + ... + 3849127704.

Almost surely, 2^{10042370777600} is an apocalyptic number.

10042370777600 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 10042370777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177826581290).

10042370777600 is an abundant number, since it is smaller than the sum of its proper divisors (22313282384980).

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

10042370777600 is a wasteful number, since it uses less digits than its factorization.

10042370777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 44.

The spelling of 10042370777600 in words is "ten trillion, forty-two billion, three hundred seventy million, seven hundred seventy-seven thousand, six hundred".