21403746711264 has 96 divisors (see below), whose sum is σ = 59511961020960. Its totient is φ = 6712402378752.

The previous prime is 21403746711121. The next prime is 21403746711289. The reversal of 21403746711264 is 46211764730412.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949802 + ... + 6827094.

It is an arithmetic number, because the mean of its divisors is an integer number (619916260635).

Almost surely, 2^{21403746711264} is an apocalyptic number.

21403746711264 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 21403746711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29755980510480).

21403746711264 is an abundant number, since it is smaller than the sum of its proper divisors (38108214309696).

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

21403746711264 is a wasteful number, since it uses less digits than its factorization.

21403746711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880012 (or 4880004 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 21403746711264 in words is "twenty-one trillion, four hundred three billion, seven hundred forty-six million, seven hundred eleven thousand, two hundred sixty-four".