220025132605440 has 672 divisors, whose sum is σ = 796399578501696. Its totient is φ = 56084901396480.

The previous prime is 220025132605427. The next prime is 220025132605457. The reversal of 220025132605440 is 44506231520022.

220025132605440 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 2 + 5 + 1 + 3 + 2 + 605 + 4 + 40 = 666.

It is a super-2 number, since 2×220025132605440² (a number of 29 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 = 220025132605395 and 220025132605404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14049231210 + ... + 14049246870.

Almost surely, 2^{220025132605440} is an apocalyptic number.

220025132605440 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 220025132605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398199789250848).

220025132605440 is an abundant number, since it is smaller than the sum of its proper divisors (576374445896256).

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

220025132605440 is a wasteful number, since it uses less digits than its factorization.

220025132605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17378 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 220025132605440 in words is "two hundred twenty trillion, twenty-five billion, one hundred thirty-two million, six hundred five thousand, four hundred forty".