21477234240 has 1344 divisors, whose sum is σ = 101609883648. Its totient is φ = 4180377600.

The previous prime is 21477234203. The next prime is 21477234253. The reversal of 21477234240 is 4243277412.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×21477234240² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21477234195 and 21477234204.

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, 101787735 + ... + 101787945.

It is an arithmetic number, because the mean of its divisors is an integer number (75602592).

Almost surely, 2^21477234240 is an apocalyptic number.

21477234240 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 21477234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50804941824).

21477234240 is an abundant number, since it is smaller than the sum of its proper divisors (80132649408).

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

21477234240 is a wasteful number, since it uses less digits than its factorization.

21477234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 21477234240 in words is "twenty-one billion, four hundred seventy-seven million, two hundred thirty-four thousand, two hundred forty".