10010412034440 has 256 divisors, whose sum is σ = 31325062348800. Its totient is φ = 2556272256000.

The previous prime is 10010412034429. The next prime is 10010412034477. The reversal of 10010412034440 is 4443021401001.

It is a super-2 number, since 2×10010412034440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10010412034440.

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, 743543149 + ... + 743556611.

It is an arithmetic number, because the mean of its divisors is an integer number (122363524800).

Almost surely, 2^{10010412034440} is an apocalyptic number.

10010412034440 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 10010412034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662531174400).

10010412034440 is an abundant number, since it is smaller than the sum of its proper divisors (21314650314360).

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

10010412034440 is a wasteful number, since it uses less digits than its factorization.

10010412034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588 (or 15584 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10010412034440 its reverse (4443021401001), we get a palindrome (14453433435441).

The spelling of 10010412034440 in words is "ten trillion, ten billion, four hundred twelve million, thirty-four thousand, four hundred forty".