21677881405440 has 416 divisors, whose sum is σ = 74770291915200. Its totient is φ = 5330801000448.

The previous prime is 21677881405391. The next prime is 21677881405441. The reversal of 21677881405440 is 4450418877612.

It is a tau number, because it is divible by the number of its divisors (416).

It is not an unprimeable number, because it can be changed into a prime (21677881405441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837844344 + ... + 837870216.

Almost surely, 2^{21677881405440} is an apocalyptic number.

21677881405440 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 21677881405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37385145957600).

21677881405440 is an abundant number, since it is smaller than the sum of its proper divisors (53092410509760).

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

21677881405440 is a wasteful number, since it uses less digits than its factorization.

21677881405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26967 (or 26945 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 21677881405440 in words is "twenty-one trillion, six hundred seventy-seven billion, eight hundred eighty-one million, four hundred five thousand, four hundred forty".