1000041631104 has 384 divisors, whose sum is σ = 2852041420800. Its totient is φ = 310216531968.

The previous prime is 1000041631103. The next prime is 1000041631157. The reversal of 1000041631104 is 4011361400001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1000041631104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000041631103) 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, 1517513527 + ... + 1517514185.

It is an arithmetic number, because the mean of its divisors is an integer number (7427191200).

Almost surely, 2^{1000041631104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000041631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426020710400).

1000041631104 is an abundant number, since it is smaller than the sum of its proper divisors (1851999789696).

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

1000041631104 is a wasteful number, since it uses less digits than its factorization.

1000041631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 1000041631104 in words is "one trillion, forty-one million, six hundred thirty-one thousand, one hundred four".