21034154411424 has 1296 divisors, whose sum is σ = 84882533692320. Its totient is φ = 4871208222720.

The previous prime is 21034154411399. The next prime is 21034154411429. The reversal of 21034154411424 is 42411445143012.

21034154411424 is a `hidden beast` number, since 2 + 10 + 34 + 154 + 41 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21034154411429) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 852366574 + ... + 852391250.

It is an arithmetic number, because the mean of its divisors is an integer number (65495782170).

Almost surely, 2^{21034154411424} is an apocalyptic number.

21034154411424 is a gapful number since it is divisible by the number (24) 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 21034154411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42441266846160).

21034154411424 is an abundant number, since it is smaller than the sum of its proper divisors (63848379280896).

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

21034154411424 is a wasteful number, since it uses less digits than its factorization.

21034154411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24771 (or 24736 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 21034154411424 its reverse (42411445143012), we get a palindrome (63445599554436).

The spelling of 21034154411424 in words is "twenty-one trillion, thirty-four billion, one hundred fifty-four million, four hundred eleven thousand, four hundred twenty-four".