21106607040 has 168 divisors, whose sum is σ = 76868578800. Its totient is φ = 5297332224.

The previous prime is 21106607009. The next prime is 21106607047. The reversal of 21106607040 is 4070660112.

21106607040 is a `hidden beast` number, since 2 + 1 + 10 + 6 + 607 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21106606995 and 21106607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21106607047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166590 + ... + 264509.

Almost surely, 2^21106607040 is an apocalyptic number.

21106607040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21106607040 is an abundant number, since it is smaller than the sum of its proper divisors (55761971760).

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

21106607040 is a wasteful number, since it uses less digits than its factorization.

21106607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431139 (or 431126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21106607040 in words is "twenty-one billion, one hundred six million, six hundred seven thousand, forty".