21121288151040 has 4032 divisors, whose sum is σ = 100244860305408. Its totient is φ = 4213820620800.

The previous prime is 21121288151027. The next prime is 21121288151069. The reversal of 21121288151040 is 4015188212112.

21121288151040 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 28 + 81 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×21121288151040² (a number of 27 digits) contains 22 as substring.

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 = 21121288150986 and 21121288151004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166309355457 + ... + 166309355583.

It is an arithmetic number, because the mean of its divisors is an integer number (24862316544).

Almost surely, 2^{21121288151040} is an apocalyptic number.

21121288151040 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 21121288151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122430152704).

21121288151040 is an abundant number, since it is smaller than the sum of its proper divisors (79123572154368).

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

21121288151040 is a wasteful number, since it uses less digits than its factorization.

21121288151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 21121288151040 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred eighty-eight million, one hundred fifty-one thousand, forty".