21483134279040 has 1536 divisors, whose sum is σ = 89569111357440. Its totient is φ = 4267329454080.

The previous prime is 21483134278967. The next prime is 21483134279111. The reversal of 21483134279040 is 4097243138412.

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 191 ways as a sum of consecutive naturals, for example, 4419486210 + ... + 4419491070.

It is an arithmetic number, because the mean of its divisors is an integer number (58313223540).

Almost surely, 2^{21483134279040} is an apocalyptic number.

21483134279040 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 21483134279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44784555678720).

21483134279040 is an abundant number, since it is smaller than the sum of its proper divisors (68085977078400).

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

21483134279040 is a wasteful number, since it uses less digits than its factorization.

21483134279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 21483134279040 in words is "twenty-one trillion, four hundred eighty-three billion, one hundred thirty-four million, two hundred seventy-nine thousand, forty".