21431412041040 has 120 divisors (see below), whose sum is σ = 74639522743968. Its totient is φ = 5715043205760.

The previous prime is 21431412041033. The next prime is 21431412041051. The reversal of 21431412041040 is 4014021413412.

21431412041040 is a `hidden beast` number, since 2 + 1 + 431 + 4 + 120 + 4 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21431412040995 and 21431412041013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551200006 + ... + 551238885.

Almost surely, 2^{21431412041040} is an apocalyptic number.

21431412041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21431412041040 is an abundant number, since it is smaller than the sum of its proper divisors (53208110702928).

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

21431412041040 is a wasteful number, since it uses less digits than its factorization.

21431412041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102438919 (or 1102438901 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21431412041040 its reverse (4014021413412), we get a palindrome (25445433454452).

The spelling of 21431412041040 in words is "twenty-one trillion, four hundred thirty-one billion, four hundred twelve million, forty-one thousand, forty".