100412031440 has 160 divisors (see below), whose sum is σ = 284701182720. Its totient is φ = 32168005632.

The previous prime is 100412031427. The next prime is 100412031457. The reversal of 100412031440 is 44130214001.

It is a super-3 number, since 3×100412031440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712082 + ... + 841358.

It is an arithmetic number, because the mean of its divisors is an integer number (1779382392).

Almost surely, 2^100412031440 is an apocalyptic number.

100412031440 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 100412031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142350591360).

100412031440 is an abundant number, since it is smaller than the sum of its proper divisors (184289151280).

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

100412031440 is a wasteful number, since it uses less digits than its factorization.

100412031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129389 (or 129383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100412031440 its reverse (44130214001), we get a palindrome (144542245441).

The spelling of 100412031440 in words is "one hundred billion, four hundred twelve million, thirty-one thousand, four hundred forty".