1040042102010 has 64 divisors (see below), whose sum is σ = 2531874620160. Its totient is φ = 273371624960.

The previous prime is 1040042101999. The next prime is 1040042102039. The reversal of 1040042102010 is 102012400401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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, 9001486 + ... + 9116294.

It is an arithmetic number, because the mean of its divisors is an integer number (39560540940).

Almost surely, 2^{1040042102010} is an apocalyptic number.

1040042102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040042102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265937310080).

1040042102010 is an abundant number, since it is smaller than the sum of its proper divisors (1491832518150).

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

1040042102010 is a wasteful number, since it uses less digits than its factorization.

1040042102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119143.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1040042102010 its reverse (102012400401), we get a palindrome (1142054502411).

The spelling of 1040042102010 in words is "one trillion, forty billion, forty-two million, one hundred two thousand, ten".