1031801472000 has 528 divisors, whose sum is σ = 4004243176752. Its totient is φ = 253978214400.

The previous prime is 1031801471999. The next prime is 1031801472007. The reversal of 1031801472000 is 2741081301.

1031801472000 is a `hidden beast` number, since 1 + 0 + 318 + 0 + 147 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 546984493056 + 484816978944 = 739584^2 + 696288^2 .

It is a super-2 number, since 2×1031801472000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1031801472007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14941552 + ... + 15010448.

Almost surely, 2^{1031801472000} is an apocalyptic number.

1031801472000 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 1031801472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002121588376).

1031801472000 is an abundant number, since it is smaller than the sum of its proper divisors (2972441704752).

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

1031801472000 is a wasteful number, since it uses less digits than its factorization.

1031801472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68951 (or 68920 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1031801472000 in words is "one trillion, thirty-one billion, eight hundred one million, four hundred seventy-two thousand".