1007034985194 has 128 divisors (see below), whose sum is σ = 2535381596160. Its totient is φ = 260209407744.

The previous prime is 1007034985129. The next prime is 1007034985283. The reversal of 1007034985194 is 4915894307001.

It is a super-2 number, since 2×1007034985194² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1243117 + ... + 1886639.

It is an arithmetic number, because the mean of its divisors is an integer number (19807668720).

Almost surely, 2^{1007034985194} is an apocalyptic number.

1007034985194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007034985194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267690798080).

1007034985194 is an abundant number, since it is smaller than the sum of its proper divisors (1528346610966).

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

1007034985194 is a wasteful number, since it uses less digits than its factorization.

1007034985194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643644.

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 1007034985194 in words is "one trillion, seven billion, thirty-four million, nine hundred eighty-five thousand, one hundred ninety-four".