21139914240 has 360 divisors, whose sum is σ = 75894626808. Its totient is φ = 5437931520.

The previous prime is 21139914217. The next prime is 21139914281. The reversal of 21139914240 is 4241993112.

21139914240 is a `hidden beast` number, since 2 + 11 + 399 + 14 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 21139914195 and 21139914204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19376095 + ... + 19377185.

Almost surely, 2^21139914240 is an apocalyptic number.

21139914240 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 21139914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37947313404).

21139914240 is an abundant number, since it is smaller than the sum of its proper divisors (54754712568).

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

21139914240 is a wasteful number, since it uses less digits than its factorization.

21139914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21139914240 in words is "twenty-one billion, one hundred thirty-nine million, nine hundred fourteen thousand, two hundred forty".