101431420040 has 64 divisors (see below), whose sum is σ = 246786912000. Its totient is φ = 37373467648.

The previous prime is 101431420037. The next prime is 101431420063. The reversal of 101431420040 is 40024134101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101431419994 and 101431420021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554890 + ... + 1618809.

It is an arithmetic number, because the mean of its divisors is an integer number (3856045500).

Almost surely, 2^101431420040 is an apocalyptic number.

101431420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101431420040 is an abundant number, since it is smaller than the sum of its proper divisors (145355491960).

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

101431420040 is a wasteful number, since it uses less digits than its factorization.

101431420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173774 (or 3173770 counting only the distinct ones).

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

Adding to 101431420040 its reverse (40024134101), we get a palindrome (141455554141).

The spelling of 101431420040 in words is "one hundred one billion, four hundred thirty-one million, four hundred twenty thousand, forty".