10034420401040 has 160 divisors (see below), whose sum is σ = 27267736181760. Its totient is φ = 3363190272000.

The previous prime is 10034420401037. The next prime is 10034420401043. The reversal of 10034420401040 is 4010402443001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10034420401037) and next prime (10034420401043).

It is a junction number, because it is equal to n+sod(n) for n = 10034420400997 and 10034420401015.

It is not an unprimeable number, because it can be changed into a prime (10034420401043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3345380 + ... + 5591100.

It is an arithmetic number, because the mean of its divisors is an integer number (170423351136).

Almost surely, 2^{10034420401040} is an apocalyptic number.

10034420401040 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 10034420401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633868090880).

10034420401040 is an abundant number, since it is smaller than the sum of its proper divisors (17233315780720).

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

10034420401040 is a wasteful number, since it uses less digits than its factorization.

10034420401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245921 (or 2245915 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10034420401040 its reverse (4010402443001), we get a palindrome (14044822844041).

The spelling of 10034420401040 in words is "ten trillion, thirty-four billion, four hundred twenty million, four hundred one thousand, forty".