21312011411040 has 384 divisors, whose sum is σ = 77054392074240. Its totient is φ = 4850332121088.

The previous prime is 21312011411021. The next prime is 21312011411083. The reversal of 21312011411040 is 4011411021312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21312011410998 and 21312011411016.

It is a congruent number.

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, 838283769 + ... + 838309191.

It is an arithmetic number, because the mean of its divisors is an integer number (200662479360).

Almost surely, 2^{21312011411040} is an apocalyptic number.

21312011411040 is a gapful number since it is divisible by the number (20) 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 21312011411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38527196037120).

21312011411040 is an abundant number, since it is smaller than the sum of its proper divisors (55742380663200).

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

21312011411040 is a wasteful number, since it uses less digits than its factorization.

21312011411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26514 (or 26506 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 21312011411040 its reverse (4011411021312), we get a palindrome (25323422432352).

The spelling of 21312011411040 in words is "twenty-one trillion, three hundred twelve billion, eleven million, four hundred eleven thousand, forty".