10034509271040 has 416 divisors, whose sum is σ = 35768773334400. Its totient is φ = 2668753059840.

The previous prime is 10034509270991. The next prime is 10034509271051. The reversal of 10034509271040 is 4017290543001.

10034509271040 is a `hidden beast` number, since 1 + 0 + 0 + 345 + 0 + 9 + 271 + 0 + 40 = 666.

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 = 10034509270986 and 10034509271004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209547900 + ... + 209595780.

Almost surely, 2^{10034509271040} is an apocalyptic number.

10034509271040 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 10034509271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884386667200).

10034509271040 is an abundant number, since it is smaller than the sum of its proper divisors (25734264063360).

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

10034509271040 is an equidigital number, since it uses as much as digits as its factorization.

10034509271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48298 (or 48270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10034509271040 in words is "ten trillion, thirty-four billion, five hundred nine million, two hundred seventy-one thousand, forty".