21974778174240 has 384 divisors, whose sum is σ = 78272490240000. Its totient is φ = 5756408736768.

The previous prime is 21974778174149. The next prime is 21974778174277. The reversal of 21974778174240 is 4247187747912.

21974778174240 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 477 + 81 + 7 + 42 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356546307 + ... + 356607933.

It is an arithmetic number, because the mean of its divisors is an integer number (203834610000).

Almost surely, 2^{21974778174240} is an apocalyptic number.

21974778174240 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 21974778174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39136245120000).

21974778174240 is an abundant number, since it is smaller than the sum of its proper divisors (56297712065760).

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

21974778174240 is a wasteful number, since it uses less digits than its factorization.

21974778174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63109 (or 63095 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 21974778174240 in words is "twenty-one trillion, nine hundred seventy-four billion, seven hundred seventy-eight million, one hundred seventy-four thousand, two hundred forty".