22177220403420 has 192 divisors, whose sum is σ = 70482870057600. Its totient is φ = 5787446353920.

The previous prime is 22177220403409. The next prime is 22177220403427. The reversal of 22177220403420 is 2430402277122.

22177220403420 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 7 + 220 + 4 + 0 + 3 + 420 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22177220403427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4780396 + ... + 8197964.

It is an arithmetic number, because the mean of its divisors is an integer number (367098281550).

Almost surely, 2^{22177220403420} is an apocalyptic number.

22177220403420 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 22177220403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35241435028800).

22177220403420 is an abundant number, since it is smaller than the sum of its proper divisors (48305649654180).

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

22177220403420 is a wasteful number, since it uses less digits than its factorization.

22177220403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417845 (or 3417837 counting only the distinct ones).

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

The spelling of 22177220403420 in words is "twenty-two trillion, one hundred seventy-seven billion, two hundred twenty million, four hundred three thousand, four hundred twenty".