21112207079040 has 2880 divisors, whose sum is σ = 97260507729000. Its totient is φ = 4348057190400.

The previous prime is 21112207079039. The next prime is 21112207079069. The reversal of 21112207079040 is 4097070221112.

It can be written as a sum of positive squares in 4 ways, for example, as 10808261158464 + 10303945920576 = 3287592^2 + 3209976^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 21112207078986 and 21112207079004.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 45796544410 + ... + 45796544870.

Almost surely, 2^{21112207079040} is an apocalyptic number.

21112207079040 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 21112207079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48630253864500).

21112207079040 is an abundant number, since it is smaller than the sum of its proper divisors (76148300649960).

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

21112207079040 is a wasteful number, since it uses less digits than its factorization.

21112207079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 21112207079040 in words is "twenty-one trillion, one hundred twelve billion, two hundred seven million, seventy-nine thousand, forty".