10140404120010 has 96 divisors (see below), whose sum is σ = 26625737221200. Its totient is φ = 2677485210624.

The previous prime is 10140404119991. The next prime is 10140404120027. The reversal of 10140404120010 is 1002140404101.

10140404120010 is a `hidden beast` number, since 1 + 0 + 140 + 404 + 120 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2278285341201 + 7862118778809 = 1509399^2 + 2803947^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058254 + ... + 5443686.

Almost surely, 2^{10140404120010} is an apocalyptic number.

10140404120010 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 10140404120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312868610600).

10140404120010 is an abundant number, since it is smaller than the sum of its proper divisors (16485333101190).

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

10140404120010 is a wasteful number, since it uses less digits than its factorization.

10140404120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385912 (or 2385909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10140404120010 its reverse (1002140404101), we get a palindrome (11142544524111).

The spelling of 10140404120010 in words is "ten trillion, one hundred forty billion, four hundred four million, one hundred twenty thousand, ten".