21404146464360 has 1536 divisors, whose sum is σ = 88426930176000. Its totient is φ = 4420052582400.

The previous prime is 21404146464347. The next prime is 21404146464469. The reversal of 21404146464360 is 6346464140412.

It is a happy number.

21404146464360 is a `hidden beast` number, since 2 + 1 + 40 + 4 + 146 + 464 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3132463504 + ... + 3132470336.

It is an arithmetic number, because the mean of its divisors is an integer number (57569616000).

Almost surely, 2^{21404146464360} is an apocalyptic number.

21404146464360 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 21404146464360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44213465088000).

21404146464360 is an abundant number, since it is smaller than the sum of its proper divisors (67022783711640).

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

21404146464360 is a wasteful number, since it uses less digits than its factorization.

21404146464360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 21404146464360 in words is "twenty-one trillion, four hundred four billion, one hundred forty-six million, four hundred sixty-four thousand, three hundred sixty".