21014342400040 has 96 divisors (see below), whose sum is σ = 52485990931080. Its totient is φ = 7565919680000.

The previous prime is 21014342399951. The next prime is 21014342400137. The reversal of 21014342400040 is 4000424341012.

It can be written as a sum of positive squares in 4 ways, for example, as 15525002671684 + 5489339728356 = 3940178^2 + 2342934^2 .

It is a super-2 number, since 2×21014342400040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21014342399978 and 21014342400014.

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, 21005251 + ... + 21982930.

Almost surely, 2^{21014342400040} is an apocalyptic number.

21014342400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21014342400040 is an abundant number, since it is smaller than the sum of its proper divisors (31471648531040).

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

21014342400040 is a wasteful number, since it uses less digits than its factorization.

21014342400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42988315 (or 42988300 counting only the distinct ones).

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

Adding to 21014342400040 its reverse (4000424341012), we get a palindrome (25014766741052).

The spelling of 21014342400040 in words is "twenty-one trillion, fourteen billion, three hundred forty-two million, four hundred thousand, forty".