10147001040000 has 480 divisors, whose sum is σ = 39804179397840. Its totient is φ = 2459877120000.

The previous prime is 10147001039977. The next prime is 10147001040013. The reversal of 10147001040000 is 4010074101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10147001040000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7279407 + ... + 8560593.

Almost surely, 2^{10147001040000} is an apocalyptic number.

10147001040000 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 10147001040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902089698920).

10147001040000 is an abundant number, since it is smaller than the sum of its proper divisors (29657178357840).

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

10147001040000 is a wasteful number, since it uses less digits than its factorization.

10147001040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281238 (or 1281208 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 10147001040000 in words is "ten trillion, one hundred forty-seven billion, one million, forty thousand".