21462705467840 has 224 divisors, whose sum is σ = 63288154083840. Its totient is φ = 6750918660096.

The previous prime is 21462705467837. The next prime is 21462705467843. The reversal of 21462705467840 is 4876450726412.

It is an interprime number because it is at equal distance from previous prime (21462705467837) and next prime (21462705467843).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21462705467843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485691 + ... + 7007429.

It is an arithmetic number, because the mean of its divisors is an integer number (282536402160).

Almost surely, 2^{21462705467840} is an apocalyptic number.

21462705467840 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 21462705467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31644077041920).

21462705467840 is an abundant number, since it is smaller than the sum of its proper divisors (41825448616000).

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

21462705467840 is a wasteful number, since it uses less digits than its factorization.

21462705467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521939 (or 4521929 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 21462705467840 in words is "twenty-one trillion, four hundred sixty-two billion, seven hundred five million, four hundred sixty-seven thousand, eight hundred forty".