101004434440 has 256 divisors, whose sum is σ = 302467737600. Its totient is φ = 29444898816.

The previous prime is 101004434437. The next prime is 101004434467. The reversal of 101004434440 is 44434400101.

It is a happy number.

It is a super-2 number, since 2×101004434440² (a number of 23 digits) contains 22 as substring.

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, 2890996 + ... + 2925724.

It is an arithmetic number, because the mean of its divisors is an integer number (1181514600).

Almost surely, 2^101004434440 is an apocalyptic number.

101004434440 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 101004434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151233868800).

101004434440 is an abundant number, since it is smaller than the sum of its proper divisors (201463303160).

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

101004434440 is a wasteful number, since it uses less digits than its factorization.

101004434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34824 (or 34820 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 101004434440 its reverse (44434400101), we get a palindrome (145438834541).

It can be divided in two parts, 1010044 and 34440, that added together give a square (1044484 = 1022²).

The spelling of 101004434440 in words is "one hundred one billion, four million, four hundred thirty-four thousand, four hundred forty".