21416511514140 has 72 divisors (see below), whose sum is σ = 64993904368848. Its totient is φ = 5708389639680.

The previous prime is 21416511514081. The next prime is 21416511514183. The reversal of 21416511514140 is 4141511561412.

21416511514140 is a `hidden beast` number, since 2 + 1 + 4 + 16 + 511 + 51 + 41 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21416511514095 and 21416511514104.

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, 27533037 + ... + 28300196.

It is an arithmetic number, because the mean of its divisors is an integer number (902693116234).

Almost surely, 2^{21416511514140} is an apocalyptic number.

21416511514140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21416511514140 is an abundant number, since it is smaller than the sum of its proper divisors (43577392854708).

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

21416511514140 is a wasteful number, since it uses less digits than its factorization.

21416511514140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55835379 (or 55835374 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 21416511514140 in words is "twenty-one trillion, four hundred sixteen billion, five hundred eleven million, five hundred fourteen thousand, one hundred forty".