21406069461504 has 1280 divisors, whose sum is σ = 75296780697600. Its totient is φ = 5246923309056.

The previous prime is 21406069461431. The next prime is 21406069461509. The reversal of 21406069461504 is 40516496060412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21406069461509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53919570234 + ... + 53919570630.

It is an arithmetic number, because the mean of its divisors is an integer number (58825609920).

Almost surely, 2^{21406069461504} is an apocalyptic number.

21406069461504 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 21406069461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648390348800).

21406069461504 is an abundant number, since it is smaller than the sum of its proper divisors (53890711236096).

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

21406069461504 is a wasteful number, since it uses less digits than its factorization.

21406069461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 21406069461504 in words is "twenty-one trillion, four hundred six billion, sixty-nine million, four hundred sixty-one thousand, five hundred four".